{"id":"cb_question_bank:98735f1a-b1b4-49cb-97d7-4c3f5eeb3aa1","source_id":"cb_question_bank","source_item_id":"98735f1a-b1b4-49cb-97d7-4c3f5eeb3aa1","external_id":null,"ibn":"025529-DC","question_id":"255996a6","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":"In the equation above, T represents Brittany’s total take-home pay, in dollars, for her first week of work, where h represents the number of hours she worked that week and 1,000 represents a sign-on bonus. If Brittany’s total take-home pay was $1,576, for how many hours was Brittany paid for her first week of work?","stimulus":"t equals, 1000 plus 18 h","stimulus_html":"<div class=\"stimulus_reference \">\n        <span class=\"math_expression \">\n          <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/a3cf74eb42c262d2bb03b47d0a14d43cd6dd3665651ec1a64ab4dc3fdcc3584a\" alt=\"t equals, 1000 plus 18 h\"></span></span>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">In the equation above, <span class=\"italic\">T</span> represents Brittany’s total take-home pay, in dollars, for her first week of work, where <span class=\"italic\">h</span> represents the number of hours she worked that week and 1,000 represents a sign-on bonus. If Brittany’s total take-home pay was $1,576, for how many hours was Brittany paid for her first week of work?</p>\n","rationale_html":"<p>Choice B is correct. Since Brittany’s total take-home pay was $1,576, the value 1,576 can be substituted for <span class=\"italic\">T</span> in the given equation <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/a3cf74eb42c262d2bb03b47d0a14d43cd6dd3665651ec1a64ab4dc3fdcc3584a\" alt=\"T equals, 1,000 plus 18 h \"></span> to give <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/f3141bfb5545e2cd1f94956ec14895e13536e9c80a4c79b9a718c6e1914920b2\" alt=\"1,576 equals, 1,000 plus 18 h\"></span>. Subtracting 1,000 from both sides of this equation gives <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/2934603112d969af57cfd61a0e24731eec1f2617880da7667f0bd0aeab9a5fd5\" alt=\"576 equals 18 h\"></span>. Dividing both sides of this equation by 18 gives <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/cfec53eb3f30f9d841989e665385c81bd6bda46e9ecc19f633552661525c8d71\" alt=\"32 equals h\"></span>. Therefore, Brittany was paid for 32 hours for her first week of work.</p><p>Choice A is incorrect. This is half the number of hours Brittany was paid for. Choice C is incorrect and may result from dividing 1,000 by 18. Choice D is incorrect and may result from dividing 1,576 by 18.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.619000+00:00","source_updated_at":"2023-08-02T20:25:59.619000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">16</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">32</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">55</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">88</p>\n","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}}