{"id":"cb_question_bank:b2496ae1-52ba-4cfa-a299-ec82b3c3b0d0","source_id":"cb_question_bank","source_item_id":"b2496ae1-52ba-4cfa-a299-ec82b3c3b0d0","external_id":null,"ibn":"017100-DC","question_id":"de6fe450","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"On January 1, 2015, a city’s minimum hourly wage was $9.25. It will increase by $0.50 on the first day of the year for the next 5 years. Which of the following functions best models the minimum hourly wage, in dollars, x years after January 1, 2015, where x equals the following five values: 1, 2, 3, 4, 5 ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">On January 1, 2015, a city’s minimum hourly wage was $9.25. It will increase by $0.50 on the first day of the year for the next 5 years. Which of the following functions best models the minimum hourly wage, in dollars, <span class=\"italic\">x</span> years after January 1, 2015, where <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7627fd09841bf12f0c26b50c03a96d97d684fb7aa28f939f5dde37612db9424b\" alt=\"x equals the following five values: 1, 2, 3, 4, 5\"></span></span> ?</p>\n","rationale_html":"<p>Choice C is correct. It’s given that the city’s minimum hourly wage will increase by $0.50 on the first day of the year for the 5 years after January 1, 2015. Therefore, the total increase, in dollars, in the minimum hourly wage <span class=\"italic\">x</span> years after January 1, 2015, is represented by <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/292f3b6da35752063f4cd6ce98f6af828225bd2760a089673019b51187fade49\" alt=\"0 point 5 0 x\"></span>. Since the minimum hourly wage on January 1, 2015, was $9.25, it follows that the minimum hourly wage, in dollars, <span class=\"italic\">x</span> years after January 1, 2015, is represented by <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/efaaf640c94d0f943452a7bc19260375253585d74fa7562dc9669e5c57992004\" alt=\"9 point 2 5, plus 0 point 5 0 x\"></span>. Therefore, the function <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e46b4bbab87a3838ccb4b64022a7c9064f22c9021b7ef3ab72d73b05ca665a28\" alt=\"f of x equals, 9 point 2 5, plus 0 point 5 0 x \"></span> best models this situation.</p><p>Choices A, B, and D are incorrect. In choice A, the function models a situation where the minimum hourly wage is $9.25 on January 1, 2015, but decreases by $0.50 on the first day of the year for the next 5 years. The functions in choices B and D both model a situation where the minimum hourly wage is increasing by $9.25 on the first day of the year for the 5 years after January 1, 2015.</p><p></p>\n","correct_answer":["C"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.615000+00:00","source_updated_at":"2023-08-02T20:25:59.615000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/4c4aa6b24a4489bca3851449c87e94b06d844032c94d2aa74a4c00c42090a6c7\" alt=\"f of x equals, 9 point 2 5, minus 0 point 5 0 x\"></span></span>\n          </p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/15336dc95dd5dc8a928da71729b2c8cc1fa2031c22769f5f0de2101389ccfb2b\" alt=\"f of x equals, 9 point 2 5 x, minus 0 point 5 0 \"></span></span>\n          </p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d85d7199603d3a17459f02ee42bab795caffc74bc06c098bd468231fb50340dd\" alt=\"f of x equals, 9 point 2 5, plus 0 point 5 0 x\"></span></span>\n          </p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d8a65ae27b145ec171dd07183de498c6f3dbee31463f6871ba8598c68beceee1\" alt=\"f of x equals, 9 point 2 5 x, plus 0 point 5 0 \"></span></span>\n          </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}}