{"id":"cb_question_bank:5184d1aa-5706-4b20-8e05-e5d45a935b24","source_id":"cb_question_bank","source_item_id":"5184d1aa-5706-4b20-8e05-e5d45a935b24","external_id":null,"ibn":"021174-DC","question_id":"445dd032","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.A.","skill":"Ratios, rates, proportional relationships, and units","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Tanya earns $13.50 per hour at her part-time job. When she works z hours, she earns 13 point 5 0 z dollars. Which of the following expressions gives the amount, in dollars, Tanya will earn if she works 3 z hours?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">Tanya earns $13.50 per hour at her part-time job. When she works <span class=\"italic\">z</span> hours, she earns <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1b724bc42a4aaf91f9ab590858b2b31dab06705c880f4727f3324bf043109bcc\" alt=\"13 point 5 0 z \"></span> dollars. Which of the following expressions gives the amount, in dollars, Tanya will earn if she works <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d6c978e9e23a4bbf60bb79a5cce40602815b4ba78c073e4e57e32c38a910b246\" alt=\"3 z\"></span> hours?</p>\n","rationale_html":"<p>Choice A is correct. It’s given that when Tanya works <span class=\"italic\">z</span> hours, she earns <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1b724bc42a4aaf91f9ab590858b2b31dab06705c880f4727f3324bf043109bcc\" alt=\"13 point 5 0 z\"></span> dollars. Since her hourly rate is constant, if she works 3 times as many hours, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d6c978e9e23a4bbf60bb79a5cce40602815b4ba78c073e4e57e32c38a910b246\" alt=\"3 z\"></span> hours, she will earn 3 times as many dollars, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/a54afa7d25939641af072b2b0b96f37493146f24cb16d5eb0dd03906a0bd7ef7\" alt=\"3 times, open parenthesis, 13 point 5 0 z, close parenthesis\"></span>.</p><p>Choice B is incorrect. This expression represents adding 3 dollars to the <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1b724bc42a4aaf91f9ab590858b2b31dab06705c880f4727f3324bf043109bcc\" alt=\"13 point 5 0 z\"></span> dollars Tanya will earn. Choice C is incorrect. This expression can be rewritten as <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/62f11decbd8c3843816432510f8839419420f590d55b70cef234a6c877cf7c52\" alt=\"16 point 5 0 z\"></span>, which implies that Tanya earns $16.50 per hour, not $13.50. Choice D is incorrect. This expression adds 3 to the number of hours Tanya works, rather than multiplying the hours she works by 3.</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.616000+00:00","source_updated_at":"2023-08-02T20:25:59.616000+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/40542aa53546f6377860d5c72910b22a5a8e23fd2301941c40d432fc63cbcae3\" alt=\"3 times, open parenthesis, 13 point 5 0 z, close parenthesis \"></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/53576c6327f3c8e2a94dba4b3763db5f93fe0cd6a99972ebc00b26a2305bd026\" alt=\"3 plus 13 point 5 0 z\"></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/a236de78c5b5cfbc2884a457ec06fb64168391ab5aa57bb3083c6f21f53bac5b\" alt=\"3 z plus 13 point 5 0 z\"></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/0ac9565d1039e5f41cd5411d8978cddad3d6b2770bfe45155d9ec2a55fd18452\" alt=\"13 point 5 0 times, open parenthesis, z plus 3, close parenthesis\"></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}}