{"id":"cb_question_bank:94737356-bbf5-45f8-9634-7b92de3d686c","source_id":"cb_question_bank","source_item_id":"94737356-bbf5-45f8-9634-7b92de3d686c","external_id":"c15291f0-3442-4787-9e24-c2044f3e1f6f","ibn":null,"question_id":"43744269","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.D.","skill":"Two-variable data: Models and scatterplots","difficulty":"E","score_band":3,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"An airplane descends from an altitude of 9,500 feet to 5,000 feet at a constant rate of 400 feet per minute. What type of function best models the relationship between the descending airplane's altitude and time?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">An airplane descends from an altitude of <math alttext=\"9,500\"><mn>9,500</mn>\n</math> feet to <math alttext=\"5,000\"><mn>5,000</mn>\n</math> feet at a constant rate of <math alttext=\"400\"><mn>400</mn>\n</math> feet per minute. What type of function best models the relationship between the descending airplane's altitude and time?</p>","rationale_html":"<p>Choice B is correct. It′s given that the airplane descends at a constant rate of <math alttext=\"400 feet per minute\"><mn>400</mn><mo>&nbsp;</mo><mtext>feet</mtext><mo>&nbsp;</mo><mtext>per</mtext><mo>&nbsp;</mo><mtext>minute</mtext></math>. Since the altitude decreases by a constant amount during each fixed time period, the relationship between the airplane′s altitude and time is linear. Since the airplane descends from an altitude of <math alttext=\"9,500 feet\"><mn>9,500</mn><mo>&nbsp;</mo><mtext>feet</mtext></math> to <math alttext=\"5,000 feet\"><mn>5,000</mn><mo>&nbsp;</mo><mtext>feet</mtext></math>, the airplane′s altitude is decreasing with time. Thus, the relationship is best modeled by a decreasing linear function.</p>\n<p>Choice A is incorrect and may result from conceptual or calculation errors.</p>\n<p>Choice C is incorrect and may result from conceptual or calculation errors.</p>\n<p>Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["B"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.834000+00:00","source_updated_at":"2023-08-02T20:25:59.834000+00:00","options":[{"label":"A","content_html":"<p style=\"text-align: left;\">Decreasing exponential</p>","ord":0},{"label":"B","content_html":"<p style=\"text-align: left;\">Decreasing linear</p>","ord":1},{"label":"C","content_html":"<p style=\"text-align: left;\">Increasing exponential</p>","ord":2},{"label":"D","content_html":"<p style=\"text-align: left;\">Increasing linear</p>","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}