// Numbas version: finer_feedback_settings
{"name": "FIS5047_S2_Numbas", "metadata": {"description": "", "licence": "None specified"}, "duration": 0, "percentPass": 0, "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": true, "question_groups": [{"name": "Semana 2", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", ""], "variable_overrides": [[], [], []], "questions": [{"name": "grafico lineal", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Luke Park", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/826/"}, {"name": "Ivan Munoz", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/18334/"}], "tags": [], "metadata": {"description": "<p>Una pregunta para practicar las siguientes habilidades en el contexto de las Ciencias de la Tierra:</p>\n<ul>\n<li>usar un conjunto de datos para deducir una relaci&oacute;n lineal<br />usar el gr&aacute;fico para hacer predicciones</li>\n</ul>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>La elevaci&oacute;n sobre el nivel del mar de un or&oacute;geno se estim&oacute; en diferentes puntos en el pasado. Los valores fueron tabulados como se muestra a continuaci&oacute;n:</p>\n<table border=\"black\">\n<tbody>\n<tr>\n<td style=\"border-color: black;\"><strong>Time from the present (Ma)</strong></td>\n<td style=\"border-color: black;\">$-10$</td>\n<td style=\"border-color: black;\">$-9$</td>\n<td style=\"border-color: black;\">$-8$</td>\n<td style=\"border-color: black;\">$-7$</td>\n<td style=\"border-color: black;\">$-6$</td>\n<td style=\"border-color: black;\">$-5$</td>\n<td style=\"border-color: black;\">$-4$</td>\n<td style=\"border-color: black;\">$-3$</td>\n<td style=\"border-color: black;\">$-2$</td>\n<td style=\"border-color: black;\">$-1$</td>\n</tr>\n<tr>\n<td style=\"border-color: black;\"><strong>Elevation above sea-level (km)</strong></td>\n<td style=\"border-color: black;\">{{graphplot}[0]}</td>\n<td style=\"border-color: black;\">{{graphplot}[1]}</td>\n<td style=\"border-color: black;\">{{graphplot}[2]}</td>\n<td style=\"border-color: black;\">{{graphplot}[3]}</td>\n<td style=\"border-color: black;\">{{graphplot}[4]}</td>\n<td style=\"border-color: black;\">{{graphplot}[5]}</td>\n<td style=\"border-color: black;\">{{graphplot}[6]}</td>\n<td style=\"border-color: black;\">{{graphplot}[7]}</td>\n<td style=\"border-color: black;\">{{graphplot}[8]}</td>\n<td style=\"border-color: black;\">\n<p>{{graphplot}[9]}</p>\n</td>\n</tr>\n</tbody>\n</table>\n<p>Donde <strong>Ma</strong> son Millones de a&ntilde;os</p>", "advice": "<p>Haga clic en 'Probar otra pregunta como esta' y repita la pregunta tantas veces como desee hasta que se sienta c&oacute;modo con los conceptos y m&eacute;todos.</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"y3": {"name": "y3", "group": "Ungrouped variables", "definition": "graphplot[2]", "description": "", "templateType": "anything", "can_override": false}, "y6": {"name": "y6", "group": "Ungrouped variables", "definition": "graphplot[5]", "description": "", "templateType": "anything", "can_override": false}, "y9": {"name": "y9", "group": "Ungrouped variables", "definition": "graphplot[8]", "description": "", "templateType": "anything", "can_override": false}, "xext": {"name": "xext", "group": "Ungrouped variables", "definition": "random(1..4.5#0.5)", "description": "", "templateType": "anything", "can_override": false}, "y2": {"name": "y2", "group": "Ungrouped variables", "definition": "graphplot[1]", "description": "", "templateType": "anything", "can_override": false}, "y7": {"name": "y7", "group": "Ungrouped variables", "definition": "graphplot[6]", "description": "", "templateType": "anything", "can_override": false}, "graphplot": {"name": "graphplot", "group": "Ungrouped variables", "definition": "map(m*x+c,x,-10..-1)", "description": "", "templateType": "anything", "can_override": false}, "y5": {"name": "y5", "group": "Ungrouped variables", "definition": "graphplot[4]", "description": "", "templateType": "anything", "can_override": false}, "m": {"name": "m", "group": "Ungrouped variables", "definition": "random(0.3,0.4,0.5,0.6,0.7,0.8)", "description": "", "templateType": "anything", "can_override": false}, "y8": {"name": "y8", "group": "Ungrouped variables", "definition": "graphplot[7]", "description": "", "templateType": "anything", "can_override": false}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "y1-m*x1", "description": "", "templateType": "anything", "can_override": false}, "y4": {"name": "y4", "group": "Ungrouped variables", "definition": "graphplot[3]", "description": "", "templateType": "anything", "can_override": false}, "ymax": {"name": "ymax", "group": "Ungrouped variables", "definition": "m*5+c", "description": "", "templateType": "anything", "can_override": false}, "x1": {"name": "x1", "group": "Ungrouped variables", "definition": "-10", "description": "", "templateType": "anything", "can_override": false}, "y10": {"name": "y10", "group": "Ungrouped variables", "definition": "graphplot[9]", "description": "", "templateType": "anything", "can_override": false}, "y1": {"name": "y1", "group": "Ungrouped variables", "definition": "random(0.5..1.1#0.1)", "description": "", "templateType": "anything", "can_override": false}, "yext": {"name": "yext", "group": "Ungrouped variables", "definition": "m*xext+c", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["x1", "y1", "m", "c", "graphplot", "xext", "yext", "ymax", "y2", "y3", "y4", "y5", "y6", "y7", "y8", "y9", "y10"], "variable_groups": [], "functions": {"lngrph": {"parameters": [], "type": "html", "language": "javascript", "definition": "\n      var m = Numbas.jme.unwrapValue(scope.variables.m);\n      var c = Numbas.jme.unwrapValue(scope.variables.c);\n      var y1 = Numbas.jme.unwrapValue(scope.variables.y1);\n\n      var ymax = Numbas.jme.unwrapValue(scope.variables.ymax);\n      var div = Numbas.extensions.jsxgraph.makeBoard('600px','600px',\n        {boundingBox:[-10,ymax,5,-3],\n         axis:true,\n         showNavigation:true,\n         grid:true});\n      var brd = div.board;\n      var xaxis = brd.create('line',[[0,0],[1,0]], { strokeWidth: 0, fixed: true, withlabel: true, name: function () {return \"Time from the present (Ma)\"}, label: {offset:[110,-20]}});\n      var yaxis = brd.create('line',[[0,0],[0,1]], { strokeWidth: 0, fixed: true, withlabel: true, name: function () {return \"Elevation above sea-level (km)\"}, label: {offset:[20,570]} });  \n\n/*\n        var xas = brd.create('line',[[0,0],[1,0]], { strokeColor: 'black',fixed:true});\n        var xticks = brd.create('ticks',[xas,2],{\n      drawLabels: true,\n      label: {offset: [-4, -10]},\n      minorTicks: 0\n        });\n        var yas = brd.create('line',[[0,0],[0,1]], { strokeColor: 'black',fixed:true});\n        var yticks = brd.create('ticks',[yas,2],{\n      drawLabels: true,\n      label: {offset: [-20, 0]},\n      minorTicks: 0\n        });\n\n*/\n\n\n       // var li1=brd.create('line',[[0,b],[1,a+b]],{fixed:true});\n       // var p1=brd.create('point',[0,c],{fixed:true,size:1,name:''});\n       // brd.create('text', [0.25, c, function(){ return '(' + p1.X()+','+p1.Y()+')'; }],{fontsize:15,isLabel:true});\n       // var p2=brd.create('point',[-1,c-m],{fixed:true,size:1,name:''});\n       // brd.create('text', [-0.75, c-m, function(){ return '(' + p2.X()+','+p2.Y()+')'; }],{fontsize:15,isLabel:true});\n       // var point = brd.create('point',[-10,y1],{fixed:true,size:1,name:'',color:'brown'})\n\n      var tree;\n        //x is the variable in the equation to be input\n      var nscope = new Numbas.jme.Scope([scope,{variables:{t:new Numbas.jme.types.TNum(0)}}]);\n        //create a functiongraph from the student input\n      var curve = brd.create('functiongraph', [function(t){\n        if(tree) {\n      try {\n        nscope.variables.t.value = t;\n        //the user input is evaluated at x=t\n      var val = Numbas.jme.evaluate(tree,nscope).value;\n      return val;\n      }\n      catch(e) {\n        return 0;\n      }\n        }\n        else\n      return 0;\n        },-10,10],{strokeColor:'black',strokeWidth:1.5});\n       //pick up the student answer and is parsed\n      question.signals.on('HTMLAttached',function(e) {\n        ko.computed(function(){\n        var expr = question.parts[2].gaps[0].display.studentAnswer();\n        try {\n      tree = Numbas.jme.compile(expr,scope);\n        }\n        catch(e) {\n      tree = null;\n        }\n        curve.updateCurve();\n        brd.update();\n        });\n      });  \n\n/*\n\n// DRAGPOINT CODE\n  \n\nfunction dragpoint_board() {\n  \n  var scope = question.scope;\n  var m = scope.variables.m.value;\n  var ymax = scope.variables.ymax.value;\n  var c = scope.variables.c.value;\n  \n  var div = Numbas.extensions.jsxgraph.makeBoard('600px','600px',{boundingBox:[-11,ymax,5,-3],grid:true});\n  $(question.display.html).find('#dragpoint').append(div);\n  \n  var board = div.board;\n  \n  //shorthand to evaluate a mathematical expression to a number\n  function evaluate(expression) {\n    try {\n      var vale = Numbas.jme.evaluate(expression,question.scope);\n      return Numbas.jme.unwrapValue(vale);\n    }\n    catch(e) {\n      // if there's an error, return no number\n      return NaN;\n    }\n  }\n  \n  // set up points array\n  var num_points = 10;\n  var points = [];\n  \n  // this function sets up the i^th point\n  function make_point(i) {\n    \n    // calculate initial coordinates\n    var p = i-10;\n    \n    // create an invisible vertical line for the point to slide along\n    var line = board.create('line',[[p,0],[p,1]],{visible: false});\n    \n    // create the point\n    var point = points[i] = board.create(\n      'glider',\n      [i-1,0,line],\n      {\n        name:'',\n        size:2,\n        snapSizeY: 0.1,  // the point will snap to y-coordinates which are multiples of 0.1\n        snapToGrid: true\n      }\n    );\n    \n    // the contents of the input box for this point\n    var studentAnswer = question.parts[1].gaps[i].display.studentAnswer;\n    \n/*    // watch the student's input and reposition the point when it changes.    \n    ko.computed(function() {\n      y = evaluate(studentAnswer());\n      if(!(isNaN(y)) && board.mode!=board.BOARD_MODE_DRAG) {\n        point.moveTo([x,y],100);\n      }\n    });\n    \n\n    \n    // when the student drags the point, update the gapfill input\n   point.on('drag',function(){\n   var y = Numbas.math.niceNumber(point.Y());\n    studentAnswer(y);\n    });\n  }\n\n  // create each point\n  for(var i=0;i<num_points;i++) {\n    make_point(i);\n  }\n\n} */\n\n        return div;\n        \n      \n      "}}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Usando los puntos de datos tabulados arriba, trace el gr&aacute;fico de la elevaci&oacute;n del nivel del mar contra el tiempo, calcule la tasa de 'crecimiento' (pendiente) de or&oacute;geno.</p>\n<p>$m=\\;$[[0]] km por Ma.</p>\n<p></p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "m*0.95", "maxValue": "m*1.05", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": true}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>La altura actual del or&oacute;geno estudiado se ha omitido del conjunto de datos. Usando los valores proporcionados, calcule la altura del or&oacute;geno hoy:</p>\n<p>[[0]] km</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "c*0.9", "maxValue": "c*1.1", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Usando los puntos de datos tabulados y las respuestas a la Parte a) y la Parte b), escriba la ecuaci&oacute;n lineal que relaciona el tiempo $t$ (Ma) y la elevaci&oacute;n del or&oacute;geno $h$ (km).</p>\n<p>$h=\\;$[[0]]</p>\n<p></p>\n<p></p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "m", "part": "p0g0", "must_go_first": true}, {"variable": "c", "part": "p1g0", "must_go_first": true}], "variableReplacementStrategy": "alwaysreplace", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{m}*t+{c}", "answerSimplification": "!basic", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "valuegenerators": [{"name": "t", "value": ""}]}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Suponiendo que la tasa de crecimiento orog&eacute;nico permanece constante, use la Parte c) para hacer una predicci&oacute;n de la elevaci&oacute;n en $\\var{xext}$ millones de a&ntilde;os desde el presente:</p>\n<p>[[0]] km</p>\n<p>D&eacute; su respuesta correcta con dos cifras significativas.</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "-{m}*{xext}+{c}", "maxValue": "-{m}*{xext}+{c}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "sigfig", "precision": "2", "precisionPartialCredit": 0, "precisionMessage": "<p>You have not given your answer to the correct precision.</p>", "strictPrecision": true, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"name": "Ecuacion de la recta", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Ruth Hand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3228/"}, {"name": "Ivan Munoz", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/18334/"}], "tags": [], "metadata": {"description": "<p>Find the equation from the image of graph</p>", "licence": "None specified"}, "statement": "<p>Puede ampliar y desplazar esta imagen</p>\n<p>{app}<br/><br/><br/></p>", "advice": "<p>Para encontrar el gradiente</p>\n<p>En primer lugar, dibuje un 'paso' en &aacute;ngulo recto de izquierda a derecha. Este tri&aacute;ngulo puede estar en cualquier lugar, pero es m&aacute;s &uacute;til que tenga esquinas en los v&eacute;rtices (puntos de n&uacute;meros enteros) del gr&aacute;fico y es m&aacute;s f&aacute;cil de calcular con n&uacute;meros positivos.</p>\n<p>{app_advice}</p>\n<p>Antes de comenzar a calcular, observe que la l&iacute;nea es {uod}, por lo que el gradiente ser&aacute; {pon} y la l&iacute;nea es {sos}, por lo que el valor absoluto del n&uacute;mero ser&aacute; {mol}.<br/><br/>Ahora encuentra las coordenadas de los lugares donde tu tri&aacute;ngulo se encuentra con la l&iacute;nea.</p>\n<p>$(x_1,y_1)=(\\var{ax},\\var{ay})$ and $(x_2,y_2)=(\\var{bx},\\var{by})$</p>\n<p>Necesitamos comparar el 'aumento en el eje y' con el 'recorrer el eje x', podemos decir que:</p>\n<p>$\\text{gradient} = \\frac{\\text{rise}}{\\text{run}}$</p>\n<p>Esto es equivalente a usar la f&oacute;rmula:<br/><br/>$&nbsp; m = \\frac{y_2 - y_1}{x_2 - x_1} $</p>\n<p>y sustituimos las coordenadas de los v&eacute;rtices del tri&aacute;ngulo:<br/><br/>$\\begin{split} &amp;\\, m = \\frac{\\var{by} - \\var{ay}}{\\var{bx} - \\var{ax}} \\\\ &nbsp;<br/>&amp;\\, = \\frac{\\var{by-ay}}{\\var{bx-ax}} \\\\&nbsp;<br/>&amp;\\, &nbsp;= \\var[fractionNumbers]{m} \\\\<br/>\\end{split} $</p>\n<p><strong></strong></p>\n<p>Para completar la ecuaci&oacute;n</p>\n<p>Puedes leer la intersecci&oacute;n del gr&aacute;fico (si es obvio d&oacute;nde la l&iacute;nea corta el eje y) o puedes calcularla.</p>\n<p>Sabemos que hay gradiente, por lo que podemos escribir $y=\\var{m}x+c$ y reorganizar para darnos:</p>\n<p>$c = \\simplify[all]{y - {m}x}$<br/><br/>Luego sustituya el valor de $x$ y $y$ desde cualquier punto de la l&iacute;nea, usemos $(\\var{ax},\\var{ay})$ para dar</p>\n<p>$c = \\var{ay} \\simplify[all]{- {m}} \\times \\var{ax}$</p>\n<p>$c = \\var{c}$</p>\n<p>Entonces la ecuaci&oacute;n final es</p>\n<p>$y = \\simplify[collectNumbers, zeroterm,unitfactor]{{m}x +{c}}$</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"app": {"name": "app", "group": "Ungrouped variables", "definition": "geogebra_applet(\n  800,500,\n  [\n    A: [\n      definition: p1,\n      label_visible: false,\n      visible: false\n    ],\n    B: [\n      definition: p2,\n      label_visible: false,\n      visible: false      \n    ],\n    line: [\n      definition: \"Line(A,B)\",\n      label_visible: false\n    ]\n  ]\n)", "description": "", "templateType": "anything", "can_override": false}, "m": {"name": "m", "group": "Ungrouped variables", "definition": "(ay-by)/(ax-bx)", "description": "", "templateType": "anything", "can_override": false}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "ay-m*ax", "description": "", "templateType": "anything", "can_override": false}, "P1": {"name": "P1", "group": "Ungrouped variables", "definition": "vector(ax, ay)", "description": "", "templateType": "anything", "can_override": false}, "P2": {"name": "P2", "group": "Ungrouped variables", "definition": "vector(bx,by)", "description": "", "templateType": "anything", "can_override": false}, "uod": {"name": "uod", "group": "Ungrouped variables", "definition": "if(m=0,'horizontal',if(m=abs(m),'going up','going down'))", "description": "<p>if(m=abs(m),'positive','negative')</p>", "templateType": "anything", "can_override": false}, "ax": {"name": "ax", "group": "Ungrouped variables", "definition": "random(0,1)", "description": "", "templateType": "anything", "can_override": false}, "ay": {"name": "ay", "group": "Ungrouped variables", "definition": "random(0,1,2,3)", "description": "", "templateType": "anything", "can_override": false}, "bx": {"name": "bx", "group": "Ungrouped variables", "definition": "random(ax+1..3) \n", "description": "", "templateType": "anything", "can_override": false}, "by": {"name": "by", "group": "Ungrouped variables", "definition": "random(0..4 except ay)\n", "description": "", "templateType": "anything", "can_override": false}, "app_advice": {"name": "app_advice", "group": "Ungrouped variables", "definition": "geogebra_applet(\n  800,500,\n  [\n    A: [\n      definition: p1,\n      label_visible: false,\n      visible: true\n    ],\n    B: [\n      definition: p2,\n      label_visible: false,\n      visible: true      \n    ],\n    \n    C: [\n      definition: p3,\n      label_visible: false,\n      visible: false      \n    ],\n    \n    line1: [\n      definition: \"Line(A,B)\",\n      label_visible: false,\n      visible: true\n    ],\n    \n    line2: [\n      definition: \"Segment(A,C)\",\n      label_visible: false,\n      visible: true\n    ],\n    \n   \n    \n    line3: [\n      definition: \"Segment(C,B)\",\n      label_visible: false,\n      visible: true\n    ]\n  ]\n)", "description": "", "templateType": "anything", "can_override": false}, "p3": {"name": "p3", "group": "Ungrouped variables", "definition": "vector(bx,ay)", "description": "", "templateType": "anything", "can_override": false}, "pon": {"name": "pon", "group": "Ungrouped variables", "definition": "if(m=0,'zero',if(m=abs(m),'a positive number','a negative number'))", "description": "", "templateType": "anything", "can_override": false}, "sos": {"name": "sos", "group": "Ungrouped variables", "definition": "if(m=0,'horizontal',if(abs(m)<1,'shallow','steep'))", "description": "", "templateType": "anything", "can_override": false}, "mol": {"name": "mol", "group": "Ungrouped variables", "definition": "if(m=0,'zero',if(abs(m)<1,'less than 1','greater than or equal to 1'))", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["app", "m", "c", "P1", "P2", "uod", "ax", "ay", "bx", "by", "app_advice", "p3", "pon", "sos", "mol"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Encuentra la ecuaci&oacute;n de la recta.</p>", "answer": "y = {m}x + {c}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "valuegenerators": [{"name": "x", "value": ""}, {"name": "y", "value": ""}]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"name": "Ecuaci\u00f3n Lineal", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}, {"name": "Ivan Munoz", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/18334/"}], "tags": [], "metadata": {"description": "<p>A los estudiantes se les da un problema verbal con la distancia recorrida y el tiempo que tarda un ciclista. Deben elegir la forma correcta para la ecuaci&oacute;n lineal, calcular el gradiente y trazar la l&iacute;nea.</p>\n<p>La distancia recorrida y el tiempo empleado son aleatorios.</p>\n<p>La velocidad, la distancia y el tiempo son valores enteros.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>Un ciclista pedalea a velocidad constante por la autopista Nullabor. {gender} viaja {km} kil&oacute;metros en {hours} horas.</p>", "advice": "<p></p>\n<p>Su gr&aacute;fico debe verse similar a este {geogebra_applet('https://www.geogebra.org/m/wxv4ykqj',defs)}</p>\n<p>Su gr&aacute;fico necesita:</p>\n<p>para comenzar en (0,0).<br/>para mostrar la l&iacute;nea.<br/>para contener el punto $(\\var{hours},\\var{km})$<br/>etiquetas y flechas en ambos ejes. En este gr&aacute;fico, el eje horizontal est&aacute; etiquetado como $x$. Sin embargo, deber&iacute;as haber etiquetado el tuyo como $t$ o $tiempo (hours)$. En este gr&aacute;fico, el eje vertical est&aacute; etiquetado como $y$. Sin embargo, deber&iacute;a haber etiquetado el suyo como $d$ o $distancia (km)$.<br/>una escala en cada eje.</p>\n<p>Es posible que haya elegido diferentes escalas para sus ejes. Esto esta bien.</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"gender": {"name": "gender", "group": "Ungrouped variables", "definition": "random(\"He\",\"She\")", "description": "", "templateType": "anything", "can_override": false}, "hours": {"name": "hours", "group": "Ungrouped variables", "definition": "random(1..10)", "description": "", "templateType": "anything", "can_override": false}, "speed": {"name": "speed", "group": "Ungrouped variables", "definition": "random(15..40)", "description": "", "templateType": "anything", "can_override": false}, "m": {"name": "m", "group": "Ungrouped variables", "definition": "speed", "description": "<p>gradient</p>", "templateType": "anything", "can_override": false}, "km": {"name": "km", "group": "Ungrouped variables", "definition": "speed * hours", "description": "", "templateType": "anything", "can_override": false}, "xmax": {"name": "xmax", "group": "Ungrouped variables", "definition": "hours*1.5", "description": "", "templateType": "anything", "can_override": false}, "ymax": {"name": "ymax", "group": "Ungrouped variables", "definition": "hours*1.5*m", "description": "", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "0", "description": "<p>y-intercept</p>", "templateType": "anything", "can_override": false}, "defs": {"name": "defs", "group": "Ungrouped variables", "definition": "[\n  ['a',m],['b',b],['xmin',0],['xmax',xmax],['ymin',0],['ymax',ymax]\n  ]", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["gender", "hours", "speed", "m", "km", "xmax", "ymax", "b", "defs"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Sea $d$ la distancia recorrida en km.</p>\n<p>Sea $t$ el tiempo empleado en horas.</p>\n<p>Sea $s$ la velocidad del ciclista.</p>"}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Utilizando el analisis dimensional. &iquest;Cu&aacute;l de las siguientes ecuaciones se puede usar para representar los viajes del ciclista?</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["$d=st$", "$t=sd$", "$s=dt$", "$s = t + d$"], "matrix": ["1", 0, 0, 0], "distractors": ["", "", "", ""]}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Calcula el valor de $s$&nbsp;para esta ecuaci&oacute;n.</p>", "minValue": "m", "maxValue": "m", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Construye una tabla de valores para la ecuaci&oacute;n y grafica.</p>"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}]}], "allowPrinting": true, "navigation": {"allowregen": true, "reverse": true, "browse": true, "allowsteps": true, "showfrontpage": true, "showresultspage": "oncompletion", "navigatemode": "sequence", "onleave": {"action": "none", "message": ""}, "preventleave": true, "startpassword": ""}, "timing": {"allowPause": true, "timeout": {"action": "none", "message": ""}, "timedwarning": {"action": "none", "message": ""}}, "feedback": {"showactualmark": true, "showtotalmark": true, "showanswerstate": true, "allowrevealanswer": true, "advicethreshold": 0, "intro": "", "end_message": "", "reviewshowscore": true, "reviewshowfeedback": true, "reviewshowexpectedanswer": true, "reviewshowadvice": true, "feedbackmessages": [], "enterreviewmodeimmediately": true, "showexpectedanswerswhen": "inreview", "showpartfeedbackmessageswhen": "always", "showactualmarkwhen": "always", "showtotalmarkwhen": "always", "showanswerstatewhen": "always", "showadvicewhen": "inreview"}, "diagnostic": {"knowledge_graph": {"topics": [], "learning_objectives": []}, "script": "diagnosys", "customScript": ""}, "type": "exam", "contributors": [{"name": "Ivan Munoz", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/18334/"}], "extensions": ["geogebra", "jsxgraph"], "custom_part_types": [], "resources": []}