// Numbas version: finer_feedback_settings
{"name": "SP Airline chart distance vs cost (7)", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Long_haul_flights_vs_cost_chart.png", "/srv/numbas/media/question-resources/Long_haul_flights_vs_cost_chart.png"], ["question-resources/InkedLong_haul_flights_vs_cost_chart_advice1_small.jpg", "/srv/numbas/media/question-resources/InkedLong_haul_flights_vs_cost_chart_advice1_small.jpg"], ["question-resources/InkedLong_haul_flights_vs_cost_chart_advice2_LI_small.jpg", "/srv/numbas/media/question-resources/InkedLong_haul_flights_vs_cost_chart_advice2_LI_small.jpg"], ["question-resources/InkedLong_haul_flights_vs_cost_chart_advice3_LI_small.jpg", "/srv/numbas/media/question-resources/InkedLong_haul_flights_vs_cost_chart_advice3_LI_small.jpg"], ["question-resources/InkedLong_haul_flights_vs_cost_chart_advice4_LI_small.jpg", "/srv/numbas/media/question-resources/InkedLong_haul_flights_vs_cost_chart_advice4_LI_small.jpg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "SP Airline chart distance vs cost (7)", "tags": ["LANTITE"], "metadata": {"description": "<p>Used for LANTITE preparation (Australia).&nbsp; SP = Statistics &amp; Probability strand. Students are shown an unuaual chart and asked one of seven possible questions. The Advice for this question is general in nature.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>The chart below shows the distance and change in&nbsp;cost of a number of common flight routes.</p>\n<p><img src=\"resources/question-resources/Long_haul_flights_vs_cost_chart.png\"/></p>\n<p><sup><a href=\"https://www.economist.com/graphic-detail/2018/12/08/why-ticket-prices-on-long-haul-flights-have-plummeted\">https://www.economist.com/graphic-detail/2018/12/08/why-ticket-prices-on-long-haul-flights-have-plummeted</a></sup></p>", "advice": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>First,&nbsp;read the notes below to identify and&nbsp;understand the axes on this unusual chart:</p>\n<ul>\n<li>The distance travelled for each flight can be worked out by examining where the dot for each route is, relative to the white curved lines, and reading the distance from the upper or lower straight edges of the sector. For example, the distance travelled on the London-Dubai route is around 5 200 km (see the pink arrow on the diagram below, then refer to the larger diagram above to read the numbers).</li>\n</ul>\n<p><img src=\"resources/question-resources/InkedLong_haul_flights_vs_cost_chart_advice1_small.jpg\"/></p>\n<ul>\n<li>The percentage change in cost can be worked out by extending along the straight&nbsp;grey or blue line to the curved percentage scale at the right hand side.&nbsp;For example, the&nbsp;cost on the London-Dubai route&nbsp;has decreased by around&nbsp;33% (see the yellow arrow on the diagram below, then refer to the larger diagram above to read the numbers).</li>\n</ul>\n<p><img src=\"resources/question-resources/InkedLong_haul_flights_vs_cost_chart_advice2_LI_small.jpg\"/></p>\n<p>Secondly,&nbsp;read the notes below to investigate how two routes might be related:</p>\n<ul>\n<li>If two routes have the same distance, they will lie on the same&nbsp;white curved line (or be the same distance from the same curved line). For example, the London-Dubai route&nbsp;has the same distance as the New York - Paris route (see the green line on the diagram below, then refer to the larger diagram above for more detail).</li>\n</ul>\n<p><img src=\"resources/question-resources/InkedLong_haul_flights_vs_cost_chart_advice3_LI_small.jpg\"/></p>\n<ul>\n<li>If two routes have the same percentage&nbsp;change in cost, they will lie on the same straight line radiating from the left-hand side of the sector. For example, the Boston - Dallas route has the same percentage change in cost as the New York - Los Angeles route (see the brown&nbsp;line on the diagram below, then refer to the larger diagram above for more detail).</li>\n</ul>\n<p><img src=\"resources/question-resources/InkedLong_haul_flights_vs_cost_chart_advice4_LI_small.jpg\"/></p>\n<p></p>\n<p>Once you have undestood how to read this chart, read the question carefully, to determine what is required. Sometimes the answer can be read straight from the chart.</p>\n<p>However, you might then be asked to increase or decrease an amount by a percentage. For example:</p>\n<ul>\n<li>Find the 2018 fare if the 2014 fare was $1 600 and it had decreased by 20% between 2014 and 2018.</li>\n</ul>\n<p>&nbsp; &nbsp; &nbsp; &nbsp; The quickest way is to multiply $1 600 by 0.8 (which is equivalent to finding 100% - 20%).</p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp; The 2018 fare was $1 280.</p>\n<ul>\n<li>OR&nbsp; Find the 2014 fare if&nbsp;the fare decreased by 20% between 2014 and 2018, and the 2018 fare was $900.</li>\n</ul>\n<p>&nbsp; &nbsp; &nbsp; &nbsp; This is a little more complicated, because&nbsp;$900 is 80% of the 2014 fare.</p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp; To find 100% of the 2014 fare, divide $900 by 0.8. Note that this is&nbsp;NOT the same as multiplying by 1.2.</p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp; The 2014 fare was $1 125.</p>", "rulesets": {}, "extensions": [], "variables": {"answer": {"name": "answer", "group": "Ungrouped variables", "definition": "scenario[\"correctanswer\"]", "description": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>The correct answer from the&nbsp;randomly selected scenario.</p>", "templateType": "anything"}, "question": {"name": "question", "group": "Ungrouped variables", "definition": "scenario[\"questiontext\"]", "description": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>The question from the&nbsp;randomly selected scenario.</p>", "templateType": "anything"}, "scenario": {"name": "scenario", "group": "Ungrouped variables", "definition": "random(scenarios)", "description": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>The randomly selected scenario.</p>", "templateType": "anything"}, "wrong2": {"name": "wrong2", "group": "Ungrouped variables", "definition": "scenario[\"distractor2\"]", "description": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>The&nbsp;second incorrect answer from the&nbsp;randomly selected scenario.</p>", "templateType": "anything"}, "wrong1": {"name": "wrong1", "group": "Ungrouped variables", "definition": "scenario[\"distractor1\"]", "description": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>The&nbsp;first incorrect answer from the&nbsp;randomly selected scenario.</p>", "templateType": "anything"}, "wrong3": {"name": "wrong3", "group": "Ungrouped variables", "definition": "scenario[\"distractor3\"]", "description": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>The&nbsp;third incorrect answer from the&nbsp;randomly selected scenario.</p>", "templateType": "anything"}, "scenarios": {"name": "scenarios", "group": "Ungrouped variables", "definition": "json_decode(safe(\"[\\n{\\n\\\"questiontext\\\":\\\"Which flight of less than 3000 km had the largest percentage reduction in price?\\\",\\n\\\"correctanswer\\\":\\\"Amsterdam - London\\\",\\n\\\"distractor1\\\":\\\"Boston - Dallas\\\",\\n\\\"distractor2\\\":\\\"Hong-Kong - Singapore\\\",\\n\\\"distractor3\\\":\\\"London - Frankfurt\\\"\\n},\\n{\\n\\\"questiontext\\\":\\\"Which two routes had the largest percentage reduction in price?\\\",\\n\\\"correctanswer\\\":\\\"Los Angeles - Paris and Los Angeles - London\\\",\\n\\\"distractor1\\\":\\\"San Francisco - Beijing and Los Angeles - Seoul\\\",\\n\\\"distractor2\\\":\\\"Singapore - Sydney and Orlando - Seattle\\\",\\n\\\"distractor3\\\":\\\"Orlando - London and New York - Paris\\\"\\n},\\n{\\n\\\"questiontext\\\":\\\"Any route longer than 5000 km is classified as long-haul. How many long-haul routes are shown on this chart?\\\",\\n\\\"correctanswer\\\":12,\\n\\\"distractor1\\\":8,\\n\\\"distractor2\\\":10,\\n\\\"distractor3\\\":6\\n},\\n{\\n\\\"questiontext\\\":\\\"Which statement is not true?\\\",\\n\\\"correctanswer\\\":\\\"Hong-Kong - Singapore and Hong-Kong - Beijing were the only two routes with prices that decreased by the same percentage.\\\",\\n\\\"distractor1\\\":\\\"As a general trend, the longer flights decreased by a larger percentage than the shorter flights.\\\",\\n\\\"distractor2\\\":\\\"The Singapore - Sydney route became more expensive.\\\",\\n\\\"distractor3\\\":\\\"Trans-Atlantic flights generally decreased by a higher percentage than other flights.\\\"\\n},\\n{\\n\\\"questiontext\\\":\\\"Prior to 2014, an economy-class ticket on the Los Angeles - Seoul route cost an average of $1 600. How much would it cost on average at the end of 2018?\\\",\\n\\\"correctanswer\\\":\\\"$1 280\\\",\\n\\\"distractor1\\\":\\\"$80\\\",\\n\\\"distractor2\\\":\\\"$320\\\",\\n\\\"distractor3\\\":\\\"$1 580\\\"\\n},\\n{\\n\\\"questiontext\\\":\\\"If John travelled Dubai - Singapore then Singapore - Sydney, how far approximately did he travel?\\\",\\n\\\"correctanswer\\\":\\\"12 100 km\\\",\\n\\\"distractor1\\\":\\\"5 800 km\\\",\\n\\\"distractor2\\\":\\\"6 300 km\\\",\\n\\\"distractor3\\\":\\\"12 500 km\\\"\\n},\\n{\\n\\\"questiontext\\\":\\\"After 2018, a ticket on the Los Angeles - Seoul route cost an average of $900. What was the average price prior to 2014?\\\",\\n\\\"correctanswer\\\":\\\"$1 125\\\",\\n\\\"distractor1\\\":\\\"$1 080\\\",\\n\\\"distractor2\\\":\\\"$920\\\",\\n\\\"distractor3\\\":\\\"$720\\\"\\n}\\n]\"))", "description": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>The 7 different scenarios.&nbsp; Each consists of the question, the correct answer, and three incorrect options.</p>", "templateType": "json"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["scenarios", "scenario", "question", "answer", "wrong1", "wrong2", "wrong3"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"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": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>{question}</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n{answer}", "{wrong1}", "{wrong2}", "{wrong3}"], "matrix": ["1", 0, 0, 0], "distractors": ["Well done!", "Make sure you have studied the axis labels on the chart, then re-read the question.", "Make sure you have studied the axis labels on the chart, then re-read the question.", "Make sure you have studied the axis labels on the chart, then re-read the question."]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question", "contributors": [{"name": "Adelle Colbourn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2083/"}]}]}], "contributors": [{"name": "Adelle Colbourn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2083/"}]}