// Numbas version: exam_results_page_options
{"name": "Write a linear equation and graph it from a word problem.", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Write a linear equation and graph it from a word problem.", "tags": [], "metadata": {"description": "<p>Students are given a word problem with the distance travelled and the time taken by a cyclist. They need to choose the correct form for the linear equation, compute the gradient, and plot the line.</p>\n<p>The distance travelled and time taken are randomised.</p>\n<p>Speed, distance and time are all integer values.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>A cyclist is pedalling at a constant speed along the Nullabor Highway.&nbsp;{gender} travels {km} kilometres in {hours} hours.</p>", "advice": "<p></p>\n<p>Your graph should look similar to this {geogebra_applet('https://www.geogebra.org/m/wxv4ykqj',defs)}</p>\n<p>Your graph needs:</p>\n<ul>\n<li>to&nbsp;start at (0,0).</li>\n<li>to show the line.</li>\n<li>to&nbsp;contain the point $(\\var{hours},\\var{km})$</li>\n<li>labels and arrows on both axes. In this graph, the horizontal axis is labelled $x$. However, you should have labelled yours as $t$ or $time (hours)$. In this graph, the vertical axis is labelled $y$. However, you should have labelled yours as $d$ or $distance (km)$.</li>\n<li>a scale on each axis.</li>\n</ul>\n<p>You may have chosen different scales for your axes. This is fine.</p>", "rulesets": {}, "extensions": ["geogebra"], "variables": {"gender": {"name": "gender", "group": "Ungrouped variables", "definition": "random(\"He\",\"She\")", "description": "", "templateType": "anything"}, "hours": {"name": "hours", "group": "Ungrouped variables", "definition": "random(1..10)", "description": "", "templateType": "anything"}, "speed": {"name": "speed", "group": "Ungrouped variables", "definition": "random(15..40)", "description": "", "templateType": "anything"}, "m": {"name": "m", "group": "Ungrouped variables", "definition": "speed", "description": "<p>gradient</p>", "templateType": "anything"}, "km": {"name": "km", "group": "Ungrouped variables", "definition": "speed * hours", "description": "", "templateType": "anything"}, "xmax": {"name": "xmax", "group": "Ungrouped variables", "definition": "hours*1.5", "description": "", "templateType": "anything"}, "ymax": {"name": "ymax", "group": "Ungrouped variables", "definition": "hours*1.5*m", "description": "", "templateType": "anything"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "0", "description": "<p>y-intercept</p>", "templateType": "anything"}, "defs": {"name": "defs", "group": "Ungrouped variables", "definition": "[\n  ['a',m],['b',b],['xmin',0],['xmax',xmax],['ymin',0],['ymax',ymax]\n  ]", "description": "", "templateType": "anything"}}, "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>Let $d$ represent the distance travelled in km.</p>\n<p>Let $t$ represent the time taken in hours.</p>\n<p>Let $s$ represent the cyclist's speed.</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>Which of the following equations can be used to represent the cyclist's travels?</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>Calculate the value of $s$&nbsp;for this equation.</p>", "minValue": "m", "maxValue": "m", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "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>Construct a table of values for the equation, and graph it.</p>\n<p>Once you are done, click on \"Reveal answers\" to check your graph.</p>"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}]}]}], "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}]}