{"id":"cb_question_bank:5fe2333d-7abb-4c1e-88d3-cbfd7a18668a","source_id":"cb_question_bank","source_item_id":"5fe2333d-7abb-4c1e-88d3-cbfd7a18668a","external_id":"49a43146-5d4a-4013-b46e-e0aa9a32fd1d","ibn":null,"question_id":"b8cbe394","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":"Sean rents a tent at a cost of dollar sign 11 per day plus a onetime insurance fee of dollar sign 10 . Which equation represents the total cost c , in dollars, to rent the tent with insurance for d days?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">Sean rents a tent at a cost of <math alttext=\"dollar sign 11\"><mo>$</mo><mn>11</mn></math> per day plus a onetime insurance fee of <math alttext=\"dollar sign 10\"><mo>$</mo><mn>10</mn></math>. Which equation represents the total cost <math alttext=\"c\"><mi>c</mi>\n</math>, in dollars, to rent the tent with insurance for <math alttext=\"d\"><mi>d</mi>\n</math> days?</p>","rationale_html":"<p style=\"text-align: left;\">Choice C is correct. It’s given that the cost of renting a tent is <math alttext=\"dollar sign 11\"><mo>$</mo><mn>11</mn></math> per day for <math alttext=\"d\"><mi>d</mi>\n</math> days. Multiplying the rental cost by the number of days yields <math alttext=\"dollar sign 11 d\"><mo>$</mo><mn>11</mn><mi>d</mi></math>, which represents the cost of renting the tent for <math alttext=\"d\"><mi>d</mi>\n</math> days before the insurance is added. Adding the onetime insurance fee of <math alttext=\"dollar sign 10\"><mo>$</mo><mn>10</mn></math> to the rental cost of <math alttext=\"dollar sign 11 d\"><mo>$</mo><mn>11</mn><mi>d</mi></math> gives the total cost <math alttext=\"c\"><mi>c</mi>\n</math>, in dollars, which can be represented by the equation <math alttext=\"c equals 11 d plus 10\"><mi>c</mi><mo>=</mo><mn>11</mn><mi>d</mi><mo>+</mo><mn>10</mn></math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect. This equation represents the total cost to rent the tent if the insurance fee was charged every day.</p>\n<p style=\"text-align: left;\">Choice B is incorrect. This equation represents the total cost to rent the tent if the daily fee was <math alttext=\"dollar sign left parenthesis d plus 11 right parenthesis\"><mo>$</mo><mfenced><mrow><mi>d</mi><mo>+</mo><mn>11</mn></mrow></mfenced></math> for <math alttext=\"10\"><mn>10</mn>\n</math> days.</p>\n<p style=\"text-align: left;\">Choice D is incorrect. This equation represents the total cost to rent the tent if the daily fee was <math alttext=\"dollar sign 10\"><mo>$</mo><mn>10</mn></math> and the onetime fee was <math alttext=\"dollar sign 11\"><mo>$</mo><mn>11</mn></math>.</p>","correct_answer":["C"],"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=\"c equals 11 left parenthesis d plus 10 right parenthesis\"><mi>c</mi><mo>=</mo><mn>11</mn><mfenced><mrow><mi>d</mi><mo>+</mo><mn>10</mn></mrow></mfenced></math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"c equals 10 left parenthesis d plus 11 right parenthesis\"><mi>c</mi><mo>=</mo><mn>10</mn><mfenced><mrow><mi>d</mi><mo>+</mo><mn>11</mn></mrow></mfenced></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"c equals 11 d plus 10\"><mrow>\n\t<mi>c</mi>\n\t<mo>=</mo>\n\t<mrow>\n\t\t<mrow>\n\t\t\t<mn>11</mn>\n\t\t\t<mi>d</mi>\n\t\t</mrow>\n\t\t<mo>+</mo>\n\t\t<mn>10</mn>\n\t</mrow>\n</mrow>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"c equals 10 d plus 11\"><mrow>\n\t<mi>c</mi>\n\t<mo>=</mo>\n\t<mrow>\n\t\t<mrow>\n\t\t\t<mn>10</mn>\n\t\t\t<mi>d</mi>\n\t\t</mrow>\n\t\t<mo>+</mo>\n\t\t<mn>11</mn>\n\t</mrow>\n</mrow>\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}}