{"id":"cb_question_bank:2330c291-7858-4e2e-bcf0-415f7caa9bc4","source_id":"cb_question_bank","source_item_id":"2330c291-7858-4e2e-bcf0-415f7caa9bc4","external_id":null,"ibn":"05702-DC","question_id":"f2f3fa00","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":"H","score_band":6,"answer_type":"spr","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"During a 5-second time interval, the average acceleration a , in meters per second squared, of an object with an initial velocity of 12 meters per second is defined by the equation a equals, the fraction with numerator v subscript f, end subscript, minus 12, and denominator 5 , where v f is the final velocity of the object in meters per second. If the equation is rewritten in the form v f = xa + y , where x and y are constants, what is the value of x ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">During a 5-second time interval, the average acceleration <span class=\"italic\"><span class=\"formatted_text font_style:italic \">a</span></span>, in meters per second squared, of an object with an initial velocity of 12&nbsp;meters per second is defined by the equation <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1fd18e3011e286f939fd9903352fc493b5bbe9cc68e5374b0cad544fb092a7ac\" alt=\"a equals, the fraction with numerator v subscript f, end subscript, minus 12, and denominator 5\"></span></span>, where <span class=\"italic\">v</span><sub><span class=\"italic\">f</span></sub> is the final velocity of the object in meters&nbsp;per&nbsp;second. If the equation is rewritten in the form <span class=\"italic\">v<sub>f</sub></span> = <span class=\"italic\">xa</span> + <span class=\"italic\">y</span>, where <span class=\"italic\">x</span> and <span class=\"italic\">y</span> are constants, what is the value of <span class=\"italic\">x</span> ?</p>\n","rationale_html":"<p>The correct answer is 5. The given equation can be rewritten in the form <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c3d2806e29ea398d8cfff91948ff22c9b7436fe9921182e81e450b5bafccbaae\" alt=\"v subscript f equals, x a, plus y\"></span>, like so:</p><p>\n        <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1fd18e3011e286f939fd9903352fc493b5bbe9cc68e5374b0cad544fb092a7ac\" alt=\"a, equals, the fraction with numerator v subscript f, end subscript, minus 12, and denominator 5\"></span></p><p>\n        <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ee6aac0081004e0cb7d80d62d3963715de6dd46fa3c9bed1ad4a9f7bc82b5579\" alt=\"v subscript f, end subscript, minus 12, equals 5 a\"></span></p><p>\n        <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/4d3c68484ecf4e2bb23cfa14d87fd5403277c84a8cbc52037e2c30539708d94d\" alt=\"v subscript f equals, 5 a, plus 12\"></span></p><p>It follows that the value of <span class=\"italic\">x</span> is 5 and the value of <span class=\"italic\">y</span> is 12.</p><p></p>\n","correct_answer":["5"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.629000+00:00","source_updated_at":"2023-08-02T20:25:59.629000+00:00","options":[],"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}}