// Numbas version: finer_feedback_settings
{"name": "Understanding Distance-Time Graphs", "extensions": [], "custom_part_types": [], "resources": [["images/1_40304cde18f8e36b5e94ca759edd8ea6_1.jpg", "/srv/numbas/media/images/1_40304cde18f8e36b5e94ca759edd8ea6_1.jpg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["random", "ifx", "robot", "ify", "y", "x"], "name": "Understanding Distance-Time Graphs", "tags": ["coordinates", "distance", "graphs", "rate", "time"], "preamble": {"css": "", "js": ""}, "advice": "<p>For general advice about distance -time graphs see</p>\n<p><a href=\"http://www.bbc.co.uk/schools/gcsebitesize/science/add_ocr_pre_2011/explaining_motion/describingmotionrev2.shtml\">http://www.bbc.co.uk/schools/gcsebitesize/science/add_ocr_pre_2011/explaining_motion/describingmotionrev2.shtml</a></p>", "rulesets": {}, "parts": [{"prompt": "<ol>\n      <li>Which of the following statements about Robot $\\var{random}$ are true? (Select all that apply.)[[0]]</li>\n      <li>How do the speeds of the robots compare? (Choose one.)</li>\n      </ol>\n      <p>[[1]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"maxAnswers": 0, "distractors": ["", "", "", "", "", ""], "shuffleChoices": true, "matrix": [0, 0, 1, 0, 1, 0], "minAnswers": 0, "variableReplacements": [], "warningType": "none", "variableReplacementStrategy": "originalfirst", "displayType": "checkbox", "maxMarks": 2, "scripts": {}, "marks": 0, "displayColumns": 0, "showCorrectAnswer": true, "choices": ["<p>Robot $\\var{random}$ travelled in a different direction from the other two robots.</p>", "<p>Robot $\\var{random}$ travelled $\\var{ifx}$ metres in $\\var{ify}$ seconds.</p>", "<p>Robot $\\var{random}$ travelled $\\var{ify}$ metres in $\\var{ifx}$ seconds.</p>", "<p>Robot $\\var{random}$ travelled $\\simplify{{ifx}/{ify}}$ metres per second.</p>", "<p>Robot $\\var{random}$ travelled $\\simplify[fractionnumbers]{{ify}/{ifx}}$ metres per second.</p>", "<p>None of these is true.</p>"], "type": "m_n_2", "minMarks": 0}, {"distractors": ["", "", "", "", ""], "matrix": [0, 1, 0, 0, 0], "shuffleChoices": true, "variableReplacements": [], "choices": ["<p>The robots all travelled at the same speed, they just left at different times.</p>", "<p>Robot A is the fastest and Robot C is the slowest.</p>", "<p>There is not enough information given to compare how fast the robots travelled.</p>", "<p>Robot C is the fastest and robot A is the slowest.</p>", "<p>Robot B is the fastest.</p>"], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "maxMarks": 1, "scripts": {}, "marks": 0, "displayColumns": 0, "showCorrectAnswer": true, "type": "1_n_2", "minMarks": 0}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>The graph below shows&nbsp;the distance $d$, in metres, that each of three solar-powered robots A,B, and C travelled after $t$ seconds of a race.&nbsp;</p>\n<p><img style=\"display: block; margin-left: auto; margin-right: auto;\" src=\"resources/images/1_40304cde18f8e36b5e94ca759edd8ea6_1.jpg\" alt=\"\"/></p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"random": {"definition": "random(robot)", "templateType": "anything", "group": "Ungrouped variables", "name": "random", "description": ""}, "ifx": {"definition": "if(random=\"A\",x[0],if(random=\"C\",x[1],\"\"))", "templateType": "anything", "group": "Ungrouped variables", "name": "ifx", "description": ""}, "robot": {"definition": "[\"A\",\"C\"]", "templateType": "anything", "group": "Ungrouped variables", "name": "robot", "description": ""}, "ify": {"definition": "if(random=\"A\",y[0],if(random=\"C\",y[1],\"\"))", "templateType": "anything", "group": "Ungrouped variables", "name": "ify", "description": ""}, "y": {"definition": "[5,2]", "templateType": "anything", "group": "Ungrouped variables", "name": "y", "description": ""}, "x": {"definition": "[1,5]", "templateType": "anything", "group": "Ungrouped variables", "name": "x", "description": ""}}, "metadata": {"description": "<p style=\"margin: 0px 0px 1.5em; padding: 0px; border: 0px; font-size: 13.333333969116211px; font-family: arial, sans-serif; vertical-align: baseline; line-height: 17.98611068725586px; color: #222222;\">This task is part of a set of three assessment tasks for 7.RP.2.</p>\n        <p style=\"margin: 0px 0px 1.5em; padding: 0px; border: 0px; font-size: 13.333333969116211px; font-family: arial, sans-serif; vertical-align: baseline; line-height: 17.98611068725586px; color: #222222;\"><a style=\"font-family: inherit; font-size: 13.333333969116211px; font-style: inherit; line-height: 17.98611068725586px; margin: 0px; padding: 0px; border: 0px; vertical-align: baseline; color: #00008b; text-decoration: none;\" href=\"http://www.illustrativemathematics.org/illustrations/1178\">7.RP.2 Robot Races</a><span style=\"font-family: inherit; font-size: 13.333333969116211px; font-style: inherit; line-height: 17.98611068725586px;\">&nbsp;</span><span style=\"font-family: inherit; font-size: 13.333333969116211px; font-style: inherit; line-height: 17.98611068725586px;\">asks students to \"explain what a point (x,y) on the graph of a proportional relationship means in terms of the situation\" and to \"compute unit rates associated with ratios of fractions.\" Students also need to compare the speeds of the robots.</span></p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Lois Rollings", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/326/"}]}]}], "contributors": [{"name": "Lois Rollings", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/326/"}]}