// Numbas version: exam_results_page_options
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They are given 2 exponentials, a hyperbola and a line to choose from.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>A share-house contains {n} people.</p>\n<p>They receive a bill for \\${total}.</p>", "advice": "<p>Each person pays $\\var{total} \\div \\var{n} = \\var{total/n}$ When we round this to the nearest cent, each person pays&nbsp;{totalmoney}.</p>\n<p>As the number of people increases, the cost per person decreases.</p>\n<p>This is an inverse relationship which is represented by the positive half of a hyperbola. It has asymptotes at $x=0$ and $y=0$ so it never crosses the $y$-axis (unlike the decaying exponential function).</p>", "rulesets": {}, "extensions": [], "variables": {"n": {"name": "n", "group": "Ungrouped variables", "definition": "random(2..6)", "description": "", "templateType": "anything"}, "total": {"name": "total", "group": "Ungrouped variables", "definition": "random(100..700)", "description": "", "templateType": "anything"}, "totalmoney": {"name": "totalmoney", "group": "Ungrouped variables", "definition": "currency(round(total*100/n)/100,'$','')", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["n", "total", "totalmoney"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"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>If each person in the house pays an equal share of the bill, how much does each person pay?</p>\n<p>Give your answer in dollars, rounded to the nearest cent.</p>", "minValue": "round(total*100/n)/100", "maxValue": "round(total*100/n)/100", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"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>Now let's explore what happens if there is a different number of people in the share-house.</p>\n<p>Complete this table showing how much each person has to pay in each case.</p>\n<table border=\"|\">\n<tbody>\n<tr>\n<td><strong>number of people</strong></td>\n<td>1</td>\n<td>2</td>\n<td>3</td>\n<td>4</td>\n<td>5</td>\n</tr>\n<tr>\n<td><strong>amount to pay</strong></td>\n<td>{total}</td>\n<td>[[0]]</td>\n<td>[[1]]</td>\n<td>[[2]]</td>\n<td>[[3]]</td>\n</tr>\n</tbody>\n</table>", "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, 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"suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "round(total*100/5)/100", "maxValue": "round(total*100/5)/100", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"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 graphs could represent this relationship?</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": 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