{"id":"cb_question_bank:7b53b068-8c13-4a7c-844e-f17d47f38d36","source_id":"cb_question_bank","source_item_id":"7b53b068-8c13-4a7c-844e-f17d47f38d36","external_id":null,"ibn":"09153-DC","question_id":"630897df","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":"The speed of sound in dry air, v , can be modeled by the formula v equals, 331 point 3 plus 0 point 6 0 6 times T , where T is the temperature in degrees Celsius and v is measured in meters per second. Which of the following correctly expresses T in terms of v ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">The speed of sound in dry air, <span class=\"italic\"><span class=\"formatted_text font_style:italic \">v</span></span>, can be modeled by the formula <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d3d8fd289fd97928e1a4aa33aedb233003334dc8f468b4cca177ced49e595025\" alt=\"v equals, 331 point 3 plus 0 point 6 0 6 times T\"></span></span>, where <span class=\"italic\">T</span> is the temperature in degrees Celsius and <span class=\"italic\">v</span> is measured in meters per&nbsp;second. Which of the following correctly expresses <span class=\"italic\">T</span> in terms&nbsp;of&nbsp;<span class=\"italic\">v</span>&nbsp;?</p>\n","rationale_html":"<p>Choice D is correct. To express <span class=\"italic\">T</span> in terms of <span class=\"italic\">v</span>, subtract 331.3 from both sides of the equation, which gives <span class=\"italic\">v</span> – 331.3 = 0.606<span class=\"italic\">T</span>. Dividing both sides of the equation by 0.606 gives <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/cdeb0758d4aa84b7f6cfb07ec03ce9a77cd2ecc4992311835cd6899559faadae\" alt=\"the fraction with numerator v minus 331 point 3, and denominator 0 point 6 0 6, equals T\"></span>.</p><p>Choices A, B, and C are incorrect and are the result of incorrect steps while solving for <span class=\"italic\">T</span>.</p><p></p>\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.636000+00:00","source_updated_at":"2023-08-02T20:25:59.636000+00:00","options":[{"label":"A","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/33325b4729e4deb37ed36bfa66ea6445003286cd233129b9edb5ca096d49c0e3\" alt=\"T equals, the fraction with numerator, v plus 0 point 6 0 6, and denominator, 331 point 3\"></span></span>\n","ord":0},{"label":"B","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6d63a2efb4ff95f00c1129fe9228abe0ba0bbd7295f44399fb9dca36b164da8e\" alt=\"T equals, the fraction with numerator, v minus 0 point 6 0 6, and denominator, 331 point 3\"></span></span>\n","ord":1},{"label":"C","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/19c97866cc62a4d3524062a74788c79308b9f3f34643605ce8f4fe3c69f5b4e6\" alt=\"T equals, the fraction with numerator, v plus 331 point 3, and denominator, 0 point 6 0 6\"></span></span>\n","ord":2},{"label":"D","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d39aefccb4ba28eae6625b0ce43a57b7431084ba8a8f821747984f1477f7c620\" alt=\"T equals, the fraction with numerator, v minus 331 point 3, and denominator, 0 point 6 0 6\"></span></span>\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}}