{"id":"cb_question_bank:ba5ea905-1646-42e2-a291-09d9ce4ebb1e","source_id":"cb_question_bank","source_item_id":"ba5ea905-1646-42e2-a291-09d9ce4ebb1e","external_id":"e65207ac-6145-49ce-842e-ade8831b09cf","ibn":null,"question_id":"1bc11c4e","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"g left parenthesis m right parenthesis equals negative 0.05 m plus 12.1 The given function g models the number of gallons of gasoline that remains from a full gas tank in a car after driving m miles. According to the model, about how many gallons of gasoline are used to drive each mile?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: center;\"><math alttext=\"g left parenthesis m right parenthesis equals negative 0.05 m plus 12.1\"><mi>g</mi><mfenced><mi>m</mi></mfenced><mo>=</mo><mrow><mo>-</mo><mn>0.05</mn></mrow><mi>m</mi><mo>+</mo><mrow><mn>12.1</mn></mrow></math></p>\n<p style=\"text-align: left;\">The given function <math alttext=\"g\"><mi>g</mi>\n</math> models the number of gallons of gasoline that remains from a full gas tank in a car after driving <math alttext=\"m\"><mi>m</mi>\n</math> miles. According to the model, about how many gallons of gasoline are used to drive each mile?</p>","rationale_html":"<p>Choice A is correct. It's given that the function <math alttext=\"g\"><mi>g</mi>\n</math> models the number of gallons that remain from a full gas tank in a car after driving <math alttext=\"m\"><mi>m</mi>\n</math> miles. In the given function <math alttext=\"g left parenthesis m right parenthesis equals minus 0.05 m plus 12.1\"><mi>g</mi><mfenced><mi>m</mi></mfenced><mo>=</mo><mo>-</mo><mn>0.05</mn><mi>m</mi><mo>+</mo><mn>12.1</mn></math>, the coefficient of <math alttext=\"m\"><mi>m</mi>\n</math> is <math alttext=\"negative 0.05\"><mo>-</mo><mn>0.05</mn>\n</math>. This means that for every increase in the value of <math alttext=\"m\"><mi>m</mi>\n</math> by <math alttext=\"1\"><mn>1</mn>\n</math>, the value of <math alttext=\"g left parenthesis m right parenthesis\"><mi>g</mi><mfenced><mi>m</mi></mfenced></math> decreases by <math alttext=\"0.05\"><mn>0.05</mn>\n</math>. It follows that for each mile driven, there is a decrease of <math alttext=\"0.05\"><mn>0.05</mn>\n</math> gallons of gasoline. Therefore, <math alttext=\"0.05\"><mn>0.05</mn>\n</math> gallons of gasoline are used to drive each mile.</p>\n<p>Choice B is incorrect and represents the number of gallons of gasoline in a full gas tank.</p>\n<p>Choice C is incorrect and may result from conceptual errors.</p>\n<p>Choice D is incorrect and may result from conceptual errors.</p>","correct_answer":["A"],"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=\"0.05\"><mn>0.05</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"12.1\"><mn>12.1</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"20\"><mn>20</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"242.0\"><mn>242.0</mn>\n</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}}