// Numbas version: exam_results_page_options
{"name": "Match statement to graphs", "extensions": ["random_person"], "custom_part_types": [], "resources": [["question-resources/tennis_velocity_4OedUR5.svg", "/srv/numbas/media/question-resources/tennis_velocity_4OedUR5.svg"], ["question-resources/Straightspeedthenbreak_6aTug3L.svg", "/srv/numbas/media/question-resources/Straightspeedthenbreak_6aTug3L.svg"], ["question-resources/nwtusklength_I6qZnxb.svg", "/srv/numbas/media/question-resources/nwtusklength_I6qZnxb.svg"], ["question-resources/sprint_Dc9etJm.svg", "/srv/numbas/media/question-resources/sprint_Dc9etJm.svg"], ["question-resources/Productivity_FXzE9WD.svg", "/srv/numbas/media/question-resources/Productivity_FXzE9WD.svg"], ["question-resources/limpetheartrate_TAJQrxv.svg", "/srv/numbas/media/question-resources/limpetheartrate_TAJQrxv.svg"], ["question-resources/tennis_velocity_tUQXb8i.svg", "/srv/numbas/media/question-resources/tennis_velocity_tUQXb8i.svg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Match statement to graphs", "type": "question", "statement": "<p>Select the figure&nbsp;that best matches each of the given statements.</p>", "variablesTest": {"condition": "", "maxRuns": 100}, "variables": {"person2": {"description": "", "definition": "random_person()", "templateType": "anything", "name": "person2", "group": "Ungrouped variables"}, "person1": {"description": "", "definition": "random_person()", "templateType": "anything", "name": "person1", "group": "Ungrouped variables"}, "s1": {"description": "", "definition": "if(person1['gender']='neutral','','s')", "templateType": "anything", "name": "s1", "group": "Ungrouped variables"}, "s2": {"description": "", "definition": "if(person2['gender']='neutral','','s')", "templateType": "anything", "name": "s2", "group": "Ungrouped variables"}}, "extensions": ["random_person"], "functions": {"insert_svg": {"parameters": [["url", "string"]], "type": "html", "language": "javascript", "definition": "return $('<object/>').attr({'data': url, 'type':'image/svg+xml', 'class':'graph'}); \n"}}, "tags": ["graphings of scenarios", "graphs", "matching graph to situations", "relationships between variables"], "variable_groups": [], "parts": [{"scripts": {}, "minMarks": 0, "distractors": ["", "", "", "", "", ""], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "choices": ["<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/Straightspeedthenbreak_6aTug3L.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/tennis_velocity_4OedUR5.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/sprint_Dc9etJm.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/Productivity_FXzE9WD.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/nwtusklength_I6qZnxb.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/limpetheartrate_TAJQrxv.svg\"></object></p>"], "showFeedbackIcon": true, "prompt": "<p>A tennis ball is thrown up from ground level. The height&nbsp;of the tennis ball from its original position is plotted against time.&nbsp;</p>", "shuffleChoices": false, "matrix": ["0", "1", 0, 0, 0, 0], "variableReplacements": [], "marks": 0, "displayColumns": 0, "showCorrectAnswer": true, "maxMarks": 0, "type": "1_n_2"}, {"scripts": {}, "minMarks": 0, "distractors": ["", "", "", "", "", ""], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "choices": ["<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/Straightspeedthenbreak_6aTug3L.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/tennis_velocity_4OedUR5.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/sprint_Dc9etJm.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/Productivity_FXzE9WD.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/nwtusklength_I6qZnxb.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/limpetheartrate_TAJQrxv.svg\"></object></p>"], "showFeedbackIcon": true, "prompt": "<p>A car is driving down a straight road&nbsp;at constant speed. After some time, the car suddenly brakes. The speed&nbsp;of the car is plotted against time.&nbsp;</p>", "shuffleChoices": false, "matrix": ["1", "0", 0, 0, 0, 0], "variableReplacements": [], "marks": 0, "displayColumns": 0, "showCorrectAnswer": true, "maxMarks": 0, "type": "1_n_2"}, {"scripts": {}, "minMarks": 0, "distractors": ["", "", "", "", "", ""], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "choices": ["<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/Straightspeedthenbreak_6aTug3L.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/tennis_velocity_4OedUR5.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/sprint_Dc9etJm.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/Productivity_FXzE9WD.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/nwtusklength_I6qZnxb.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/limpetheartrate_TAJQrxv.svg\"></object></p>"], "showFeedbackIcon": true, "prompt": "<p>{person1['name']} is working at {person1['pronouns']['their']} summer job and {person1['pronouns']['they']} start{s1} the day tired and unproductive at 8:00. As the day goes on, {person1['pronouns']['they']} become{s1} more productive, but as the day approches&nbsp;17:00 has become tired again.&nbsp;{capitalise(person1['name'])}'s productivity is plotted against time.</p>", "shuffleChoices": false, "matrix": ["0", "0", 0, "1", 0, 0], "variableReplacements": [], "marks": 0, "displayColumns": 0, "showCorrectAnswer": true, "maxMarks": 0, "type": "1_n_2"}, {"scripts": {}, "minMarks": 0, "distractors": ["", "", "", "", "", ""], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "choices": ["<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/Straightspeedthenbreak_6aTug3L.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/tennis_velocity_4OedUR5.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/sprint_Dc9etJm.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/Productivity_FXzE9WD.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/nwtusklength_I6qZnxb.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/limpetheartrate_TAJQrxv.svg\"></object></p>"], "showFeedbackIcon": true, "prompt": "<p>{person2['name']} has a phone contract that starts with a fixed fee, then increases in cost with every minute {person2['pronouns']['they']} spend{s2} on phone calls. This is a plot&nbsp;of the price of {person2['name']}'s contract against the number of minutes {person2['pronouns']['they']} spend{s2} on phone calls.</p>", "shuffleChoices": false, "matrix": ["0", "0", 0, "0", "1", 0], "variableReplacements": [], "marks": 0, "displayColumns": 0, "showCorrectAnswer": true, "maxMarks": 0, "type": "1_n_2"}, {"scripts": {}, "minMarks": 0, "distractors": ["", "", "", "", "", ""], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "choices": ["<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/Straightspeedthenbreak_6aTug3L.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/tennis_velocity_4OedUR5.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/sprint_Dc9etJm.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/Productivity_FXzE9WD.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/nwtusklength_I6qZnxb.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/limpetheartrate_TAJQrxv.svg\"></object></p>"], "showFeedbackIcon": true, "prompt": "<p>A limpet undergoes increasing stress as temperature increases, so that its heart rate increases with&nbsp;temperature. When a temperature threshold is reached, the limpet can no longer compensate and its hear rate drops to zero. The heart rate of the limpet is plotted against temperature.&nbsp;</p>", "shuffleChoices": false, "matrix": ["0", "0", 0, "0", "0", "1"], "variableReplacements": [], "marks": 0, "displayColumns": 0, "showCorrectAnswer": true, "maxMarks": 0, "type": "1_n_2"}, {"scripts": {}, "minMarks": 0, "distractors": ["", "", "", "", "", ""], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "choices": ["<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/Straightspeedthenbreak_6aTug3L.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/tennis_velocity_4OedUR5.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/sprint_Dc9etJm.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/Productivity_FXzE9WD.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/nwtusklength_I6qZnxb.svg\"></object></p>", "<p><object width=\"130\" height=\"90\" type=\"image/svg+xml\" data=\"resources/question-resources/limpetheartrate_TAJQrxv.svg\"></object></p>"], "showFeedbackIcon": true, "prompt": "<p>A sprinter starts off slowly, accelerates and picks up speed, before slowing again. The distance&nbsp;that the sprinter has travelled&nbsp;is plotted against time.</p>", "shuffleChoices": false, "matrix": ["0", "0", "1", "0", "0", "0"], "variableReplacements": [], "marks": 0, "displayColumns": 0, "showCorrectAnswer": true, "maxMarks": 0, "type": "1_n_2"}], "ungrouped_variables": ["person1", "person2", "s1", "s2"], "rulesets": {}, "preamble": {"css": "object.graph {\n  height: 200px;\n}", "js": ""}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>This question involves matching images of graphings to descriptions of the relationships between variables.</p>"}, "advice": "<h4><em></em><em></em>a)</h4>\n<p>The tennis ball will&nbsp;initially travel up,&nbsp;reach a maximum height, and then return&nbsp;back to the ground.&nbsp;From this we can expect an inverted parabola that starts at the origin.</p>\n<p><object width=\"200\" height=\"150\" type=\"image/svg+xml\" data=\"resources/question-resources/tennis_velocity_4OedUR5.svg\"></object></p>\n<h4>b)</h4>\n<p>For an object moving with constant speed, we expect a flat line on a speed time graph. The sudden breaking would cause a rapid decrease in speed. Therefore we expect a straight flat line followed by an abrupt downward slope.&nbsp;</p>\n<p><object width=\"200\" height=\"150\" type=\"image/svg+xml\" data=\"resources/question-resources/Straightspeedthenbreak_6aTug3L.svg\"></object></p>\n<h4>c)</h4>\n<p>We would expect output&nbsp;to start somewhere above zero&nbsp;becuase even if productivity is low, we would still expect some level of output. The description then describes a gradual increase which must peak, as there is a decrease later in the day. This would suggest an inverted parabola starting above the $x$-axis, and finishing above the $x$-axis.</p>\n<p><object width=\"200\" height=\"150\" type=\"image/svg+xml\" data=\"resources/question-resources/Productivity_FXzE9WD.svg\"></object></p>\n<h4>d)</h4>\n<p>The fixed cost would be represented on the graph as the intercept, where the $x$-value is $0$ and the $y$ value is a constant greater than zero. Then, as the number of minutes increases, price increases with a linear relationship. Therefore we expect&nbsp;a straight line, with a positive gradient and an intercept greater than zero.</p>\n<p><object width=\"200\" height=\"150\" type=\"image/svg+xml\" data=\"resources/question-resources/nwtusklength_I6qZnxb.svg\"></object></p>\n<h4>e)</h4>\n<p>We expect&nbsp;a $y$ intercept greater than zero, and a general trend of $y$ (the heart rate) increasing as $x$ (temperature) increases, before $y$ starts to quickly decrease as $x$ continues increasing. When the heart rate reaches zero, it cannot fall any further.</p>\n<p><object width=\"200\" height=\"150\" type=\"image/svg+xml\" data=\"resources/question-resources/limpetheartrate_TAJQrxv.svg\"></object></p>\n<h4>f)</h4>\n<p>The value of $y$ (distance) only increases as $x$ (time) increases, however the rate of increase changes&nbsp;as the sprinter first accelerates and then decelerates.&nbsp;</p>\n<p><object width=\"200\" height=\"150\" type=\"image/svg+xml\" data=\"resources/question-resources/sprint_Dc9etJm.svg\"></object></p>", "contributors": [{"name": "Chris Graham", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/369/"}, {"name": "Bradley Bush", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1521/"}]}]}], "contributors": [{"name": "Chris Graham", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/369/"}, {"name": "Bradley Bush", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1521/"}]}