{"id":"cb_question_bank:0705e99a-db61-48fa-a4e5-ec3eecb3f97f","source_id":"cb_question_bank","source_item_id":"0705e99a-db61-48fa-a4e5-ec3eecb3f97f","external_id":null,"ibn":"029322-DC","question_id":"3f5398a6","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.A.","skill":"Ratios, rates, proportional relationships, and units","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"For a person m miles from a flash of lightning, the length of the time interval from the moment the person sees the lightning to the moment the person hears the thunder is k seconds. The ratio of m to k can be estimated to be 1 to 5. According to this estimate, the person is how many miles from a flash of lightning if the time interval is 25 seconds?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">For a person  <em class=\"inline_variable \">m</em> miles from a flash of lightning,  the length of the time interval from the moment the person sees the lightning to the moment the person hears the thunder is <em class=\"inline_variable \">k</em> seconds. The ratio of <em class=\"inline_variable \">m</em>&nbsp;to&nbsp;<em class=\"inline_variable \">k</em> can be estimated to be 1 to 5. According to this estimate, the person is how many miles from a flash of lightning if the time interval is 25 seconds?</p>\n","rationale_html":"<p>Choice D is correct. It’s given that the ratio of <span class=\"italic\">m</span> to <span class=\"italic\">k</span> is estimated to be 1 to 5. Therefore, when <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/22aed59cc7990cae150583fbb239819e545cd6b4aab58390ac6f3c8dc66a3e6a\" alt=\"k equals 25\"></span>, the relationship between these ratios can be expressed by the proportion <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b2d038c8e275fb66f53b5545d6c56937b74bce26a69ada11ea1eec83e58b3d12\" alt=\"m over 25, equals one fifth\"></span>. Multiplying both sides of this equation by 25 yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/202e6baa706c93d385bf6faefbb7f753e5a9b69bfae4f95e54eda204645defdb\" alt=\"m equals 5\"></span>.</p><p>Choices A, B, and C are incorrect and may result from calculation errors.</p><p></p>\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.624000+00:00","source_updated_at":"2023-08-02T20:25:59.624000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">10</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">9</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">6</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">5</p>\n","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}}