{"id":"cb_question_bank:8a8df05d-5602-4078-8cbd-33c2461076a8","source_id":"cb_question_bank","source_item_id":"8a8df05d-5602-4078-8cbd-33c2461076a8","external_id":"87d05c33-deec-41ec-8d9c-f0a0094beae6","ibn":null,"question_id":"12255364","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.A.","skill":"Linear equations in one variable","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A gym charges its members a onetime dollar sign 36 enrollment fee and a membership fee of dollar sign 19 per month. If there are no charges other than the enrollment fee and the membership fee, after how many months will a member have been charged a total of dollar sign 188 at the gym?","stimulus":"","stimulus_html":null,"stem_html":"<p>A gym charges its members a onetime <math alttext=\"dollar sign 36\"><mo>$</mo><mn>36</mn>\n</math> enrollment fee and a membership fee of <math alttext=\"dollar sign 19\"><mo>$</mo><mn>19</mn>\n</math> per month. If there are no charges other than the enrollment fee and the membership fee, after how many months will a member have been charged a total of <math alttext=\"dollar sign 188\"><mo>$</mo><mn>188</mn>\n</math> at the gym?</p>","rationale_html":"<p style=\"text-align: left;\">Choice C is correct. It’s given that a gym charges its members a onetime <math alttext=\"dollar sign 36\"><mo>$</mo><mn>36</mn></math> enrollment fee and a membership fee of <math alttext=\"dollar sign 19\"><mo>$</mo><mn>19</mn></math> per month. Let <math alttext=\"x\"><mi>x</mi>\n</math> represent the number of months at the gym after which a member will have been charged a total of <math alttext=\"dollar sign 188\"><mo>$</mo><mn>188</mn></math>. If there are no charges other than the enrollment fee and the membership fee, the equation <math alttext=\"36 plus 19 x equals 188\"><mn>36</mn><mo>+</mo><mn>19</mn><mi>x</mi><mo>=</mo><mn>188</mn></math> can be used to represent this situation. Subtracting <math alttext=\"36\"><mn>36</mn>\n</math> from both sides of this equation yields <math alttext=\"19 x equals 152\"><mn>19</mn><mi>x</mi><mo>=</mo><mn>152</mn></math>. Dividing both sides of this equation by <math alttext=\"19\"><mn>19</mn>\n</math> yields <math alttext=\"x equals 8\"><mi>x</mi><mo>=</mo><mn>8</mn></math>. Therefore, a member will have been charged a total of <math alttext=\"dollar sign 188\"><mo>$</mo><mn>188</mn></math> after <math alttext=\"8\"><mn>8</mn>\n</math> months at the gym.</p>\n<p style=\"text-align: left;\">Choice A is incorrect. A member will have been charged a total of <math alttext=\"dollar sign left parenthesis 36 plus 19 times 4 right parenthesis\"><mo>$</mo><mfenced><mrow><mn>36</mn><mo>+</mo><mn>19</mn><mo>×</mo><mn>4</mn></mrow></mfenced></math>, or&nbsp;<math alttext=\"dollar sign 112\"><mo>$</mo><mn>112</mn></math>, after <math alttext=\"4\"><mn>4</mn>\n</math> months at the gym.</p>\n<p style=\"text-align: left;\">Choice B is incorrect. A member will have been charged a total of <math alttext=\"dollar sign left parenthesis 36 plus 19 times 5 right parenthesis\"><mo>$</mo><mfenced><mrow><mn>36</mn><mo>+</mo><mn>19</mn><mo>×</mo><mn>5</mn></mrow></mfenced></math>, or&nbsp;<math alttext=\"dollar sign 131\"><mo>$</mo><mn>131</mn></math>, after <math alttext=\"5\"><mn>5</mn>\n</math> months at the gym.</p>\n<p style=\"text-align: left;\">Choice D is incorrect. A member will have been charged a total of <math alttext=\"dollar sign left parenthesis 36 plus 19 times 10 right parenthesis\"><mo>$</mo><mfenced><mrow><mn>36</mn><mo>+</mo><mn>19</mn><mo>×</mo><mn>10</mn></mrow></mfenced></math>, or <math alttext=\"dollar sign 226\"><mo>$</mo><mn>226</mn></math>, after <math alttext=\"10\"><mn>10</mn>\n</math> months at the gym.</p>","correct_answer":["C"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.807000+00:00","source_updated_at":"2023-08-02T20:25:59.807000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"4\"><mn>4</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"5\"><mn>5</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"8\"><mn>8</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"10\"><mn>10</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}}