{"id":"cb_question_bank:39d9335e-3330-4b99-825f-97044b49c0cc","source_id":"cb_question_bank","source_item_id":"39d9335e-3330-4b99-825f-97044b49c0cc","external_id":null,"ibn":"025718-DC","question_id":"652054da","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.B.","skill":"Nonlinear equations in one variable and systems of equations in two variables","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"An oceanographer uses the equation s equals, three halves p to model the speed s , in knots, of an ocean wave, where p represents the period of the wave, in seconds. Which of the following represents the period of the wave in terms of the speed of the wave?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">An oceanographer uses the equation <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e4b08f84b3b09babaae431ac71ed37f9e853726c643e393d6fc7dbacf42c3bdb\" alt=\"s equals, three halves p \"></span></span> to model the speed <span class=\"italic\">s</span>, in knots, of an ocean wave, where <span class=\"italic\">p</span> represents the period of the wave, in seconds. Which of the following represents the period of the wave in terms of the speed of the wave?</p>\n","rationale_html":"<p>Choice A is correct. It’s given that <span class=\"italic\">p</span> represents the period of the ocean wave, so the equation <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e4b08f84b3b09babaae431ac71ed37f9e853726c643e393d6fc7dbacf42c3bdb\" alt=\"s equals, three halves p \"></span> can be solved for <span class=\"italic\">p</span> to represent the period of the wave in terms of the speed of the wave. Multiplying both sides of the equation by the reciprocal of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/544c1fbf41c46eecd241e072f3fef539763dd2bbcf0350489f405f9d1fa52c78\" alt=\"three halves\"></span> will isolate <span class=\"italic\">p</span>. This yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/84a342293570b5b7390f1673980158c272247ba66432318d1f4296c0dac0bd44\" alt=\"two thirds s equals, two thirds times, three halves p\"></span>, which simplifies to <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/a49ac68e04b353c655b6106d3c71629248b17e816161d3ab963fd1934c68c166\" alt=\"two thirds s, equals p\"></span>. Therefore, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/12bef863676cf86a6567300f73b5b440b313077c6e33d1c8414e7fd9f7e33b4e\" alt=\"p equals, two thirds s\"></span>.</p><p>Choices B, C, and D are incorrect and may result from errors made when rearranging the equation to solve for <span class=\"italic\">p</span>.</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.619000+00:00","source_updated_at":"2023-08-02T20:25:59.619000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/12bef863676cf86a6567300f73b5b440b313077c6e33d1c8414e7fd9f7e33b4e\" alt=\"p equals, two thirds s\"></span></span>\n          </p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ab9624f3daa1b0db65680e6f0b3c399f750379ed14ac94ab11bbde3fe03912ab\" alt=\"p equals, three halves s\"></span></span>\n          </p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/69f449b606df0fcd95136e729a19b9ee16af58bb62c38e9a73ee0d454860cdb1\" alt=\"p equals, two thirds plus s\"></span></span>\n          </p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/03c981e73d35e81994e3f1f303de47c91b1c9db6ba88e90ec1831ec22968ebb9\" alt=\"p equals, three halves plus s\"></span></span>\n          </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}}