// Numbas version: finer_feedback_settings
{"name": "Julie's copy of Relationship between Fahrenheit and Celsius", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["f0", "f1", "f2", "f3", "fahrenheit", "celsius", "c3", "c2", "c1", "c0"], "name": "Julie's copy of Relationship between Fahrenheit and Celsius", "tags": [], "advice": "", "rulesets": {}, "parts": [{"prompt": "<p>Convert the following temperature measurements:</p>\n<p><em>(give your answers to 1 decimal place of precision)</em></p>\n<ol style=\"list-style: lower-roman;\">\n<li>[[0]]&deg;F = {celsius[0]} &deg;C</li>\n<li>[[1]]&deg;F = {celsius[1]} &deg;C</li>\n<li>{fahrenheit[4]} &deg;F = [[2]]&deg;C</li>\n<li>{fahrenheit[6]} &deg;F =[[3]]&deg;C</li>\n</ol>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": 1, "maxValue": "fahrenheit[0]", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "minValue": "fahrenheit[0]", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": 1, "maxValue": "fahrenheit[1]", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "minValue": "fahrenheit[1]", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": 1, "maxValue": "celsius[4]", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "minValue": "celsius[4]", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": 1, "maxValue": "celsius[6]", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "minValue": "celsius[6]", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>At what point is the temperature in Fahrenheit the same as the temperature in Celsius?</p>\n<p>[[0]] &deg;C</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "-40", "minValue": "-40", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>The formula for converting from Celsius to Fahrenheit is \\[ F = \\frac{9}{5}&nbsp;C + 32 \\]</p>\n<div id=\"tempgraph\"></div>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": "function makeTempGraph() {\n  function getMouseCoords(e, i) {\n    var cPos = board.getCoordsTopLeftCorner(e, i);\n    var absPos = JXG.getPosition(e, i);\n    var dx = absPos[0]-cPos[0];\n    var dy = absPos[1]-cPos[1];\n    \n    return new JXG.Coords(JXG.COORDS_BY_SCREEN, [dx, dy], board);\n  }\n  \n\n  var div = Numbas.extensions.jsxgraph.makeBoard('600px','400px',{\n    boundingBox: [-80,240,100,-100],\n    axis: true,\n    showNavigation: false,\n    grid: false\n  });\n  $('#tempgraph').append(div);\n  var board = div.board;\n  \n  var fahrenheit_point = board.create('point',[0,50],{name:'',fixed:true,visible:false});\n  var fahrenheit_text = board.create('text',[-14,function(){var y = fahrenheit_point.Y(); return y<32 ? y+8 : y;},function(){return Numbas.math.niceNumber(fahrenheit_point.Y(),{precisionType:'dp',precision:1})+'\\u00B0F'}]);\n  var celsius_point = board.create('point',[10,0],{name:'',fixed:true,visible:false});\n  var celsius_text = board.create('text',[function(){return celsius_point.X()+2},8,function(){return Numbas.math.niceNumber(celsius_point.X(),{precisionType:'dp',precision:1})+'\\u00B0C'}]);\n  var line_point = board.create('point',[10,50],{name:'',fixed:true,visible:false});\n  \n  var line = board.create('line',[[0,32],[10,50]],{fixed:true,highlight:false,strokeColor:'gray'});\n  \n  var horizontal_line = board.create(\n    'segment',\n    [fahrenheit_point,line_point],\n    {dash:1,highlight:false,strokeColor:'gray'}\n  );\n\n  var vertical_line = board.create(\n    'segment',\n    [celsius_point,line_point],\n    {dash:1,highlight:false,strokeColor:'gray'}\n  );\n\n  JXG.addEvent(div,'mousemove',function(e) {\n    var coords = getMouseCoords(e).usrCoords;\n    var x = Math.round(coords[1]);\n    var y = Math.round(coords[2]);\n    if(y>0 ? y<1.8*x+32 : y>1.8*x+32) {\n      y = 1.8*x + 32;\n    } else {\n      x = (y-32)/1.8;\n    }\n    \n    fahrenheit_point.setPosition(JXG.COORDS_BY_USER,[0,y]);\n    celsius_point.setPosition(JXG.COORDS_BY_USER,[x,0]);\n    line_point.setPosition(JXG.COORDS_BY_USER,[x,y]);\n    \n    board.update();\n  },board);\n  \n  \n  board.update();\n}\n\nquestion.signals.on('HTMLAttached',function() {\n  makeTempGraph();\n  \n});"}, "variables": {"f0": {"definition": "random(-60..180)", "templateType": "anything", "group": "Ungrouped variables", "name": "f0", "description": ""}, "f1": {"definition": "random(-60..180 except f0)", "templateType": "anything", "group": "Ungrouped variables", "name": "f1", "description": ""}, "f2": {"definition": "random(-60..180 except [f0,f1])", "templateType": "anything", "group": "Ungrouped variables", "name": "f2", "description": ""}, "f3": {"definition": "random(-60..180 except [f0,f1,f2])", "templateType": "anything", "group": "Ungrouped variables", "name": "f3", "description": ""}, "fahrenheit": {"definition": "map(1.8x+32,x,[c0,c1,c2,c3])+[f0,f1,f2,f3]", "templateType": "anything", "group": "Ungrouped variables", "name": "fahrenheit", "description": ""}, "celsius": {"definition": "[c0,c1,c2,c3]+map(precround((x-32)/1.8,1),x,[f0,f1,f2,f3])", "templateType": "anything", "group": "Ungrouped variables", "name": "celsius", "description": ""}, "c3": {"definition": "random(-60..70 except [c0,c1,c2])", "templateType": "anything", "group": "Ungrouped variables", "name": "c3", "description": ""}, "c2": {"definition": "random(-60..70 except [c0,c1])", "templateType": "anything", "group": "Ungrouped variables", "name": "c2", "description": ""}, "c1": {"definition": "random(-60..70 except c0)", "templateType": "anything", "group": "Ungrouped variables", "name": "c1", "description": ""}, "c0": {"definition": "random(-60..70)", "templateType": "anything", "group": "Ungrouped variables", "name": "c0", "description": ""}}, "metadata": {"notes": "", "description": "", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}]}]}], "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}]}