{"id":"cb_question_bank:77274156-6547-4862-a58d-44477e3c3eb4","source_id":"cb_question_bank","source_item_id":"77274156-6547-4862-a58d-44477e3c3eb4","external_id":"6c1cdc06-5eb3-4cb5-bca2-3f5aa2c8be38","ibn":null,"question_id":"a396ed75","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"For a training program, Juan rides his bike at an average rate of 5.7 minutes per mile. Which function m models the number of minutes it will take Juan to ride x miles at this rate?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">For a training program, Juan rides his bike at an average rate of <math alttext=\"5.7\"><mn>5.7</mn>\n</math> minutes per mile. Which function <math alttext=\"m\"><mi>m</mi>\n</math> models the number of minutes it will take Juan to ride <math alttext=\"x\"><mi>x</mi>\n</math> miles at this rate?</p>","rationale_html":"<p style=\"text-align: left;\">Choice D is correct. It′s given that Juan rides his bike at an average rate of <math alttext=\"5.7\"><mn>5.7</mn>\n</math> minutes per mile. The number of minutes it will take Juan to ride <math alttext=\"x\"><mi>x</mi>\n</math> miles can be determined by multiplying his average rate by the number of miles, <math alttext=\"x\"><mi>x</mi>\n</math>, which yields&nbsp;<math alttext=\"5.7 x\"><mn>5.7</mn><mi>x</mi></math>. Therefore, the function <math alttext=\"m left parenthesis x right parenthesis equals 5.7 x\"><mi>m</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mn>5.7</mn><mi>x</mi></math> models the number of minutes it will take Juan to ride <math alttext=\"x\"><mi>x</mi>\n</math> miles.</p>\n<p style=\"text-align: left;\">Choice A is incorrect and may result from conceptual errors.&nbsp;</p>\n<p style=\"text-align: left;\">Choice B is incorrect and may result from conceptual errors.&nbsp;</p>\n<p style=\"text-align: left;\">Choice C is incorrect and may result from conceptual errors.&nbsp;</p>","correct_answer":["D"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.810000+00:00","source_updated_at":"2023-08-02T20:25:59.810000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"m left parenthesis x right parenthesis equals StartFraction x Over 5.7 EndFraction\"><mi>m</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mfrac><mi>x</mi><mn>5.7</mn></mfrac></math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"m left parenthesis x right parenthesis equals x plus 5.7\"><mi>m</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mi>x</mi><mo>+</mo><mn>5.7</mn></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"m left parenthesis x right parenthesis equals x minus 5.7\"><mi>m</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mi>x</mi><mo>-</mo><mn>5.7</mn></math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"m left parenthesis x right parenthesis equals 5.7 x\"><mi>m</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mn>5.7</mn><mi>x</mi></math></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}}