{"id":"cb_question_bank:98e9345d-7957-469e-bb83-bfb0a3ea9bfa","source_id":"cb_question_bank","source_item_id":"98e9345d-7957-469e-bb83-bfb0a3ea9bfa","external_id":null,"ibn":"025561-DC","question_id":"dfa45424","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.C.","skill":"Linear equations in two variables","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Tony spends $80 per month on public transportation. A 10-ride pass costs $12.50, and a single-ride pass costs $1.50. If g represents the number of 10-ride passes Tony buys in a month and t represents the number of single-ride passes Tony buys in a month, which of the following equations best represents the relationship between g and t ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">Tony spends $80 per month on public transportation. A 10-ride pass costs $12.50, and a single-ride pass costs $1.50. If <span class=\"italic\">g</span> represents the number of 10-ride passes Tony buys in a month and <span class=\"italic\">t</span> represents the number of single-ride passes Tony buys in a month, which of the following equations best represents the relationship between <span class=\"italic\">g</span> and <span class=\"italic\">t </span>?</p>\n","rationale_html":"<p>Choice D is correct. Since a 10-ride pass costs $12.50 and <span class=\"italic\">g</span> is the number of 10-ride passes Tony buys in a month, the expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/13cfcecae915b0361d6c47b9ae638a1955de9f8831fbce158c6d7e345e825cd5\" alt=\"12 point 5 0 g \"></span> represents the amount Tony spends on 10-ride passes in a month. Since a single-ride pass costs $1.50 and <span class=\"italic\">t</span> is the number of single-ride passes Tony buys in a month, the expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/2e689a9a989420717d6301e3f8dcab06bfce2e15b93e048010f1adfcd51110c4\" alt=\"1 point 5 0 t \"></span> represents the amount Tony spends on single-ride passes in a month. Therefore, the sum <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/99bd110c43649cdd354e8fc851eef0a4134932a2679e2c1355b4bd36db3984d5\" alt=\"12 point 5 0 g, plus 1 point 5 0 t \"></span> represents the amount he spends on the two types of passes in a month. Since Tony spends a total of $80 on passes in a month, this expression can be set equal to 80, producing <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ad1a53a614ce383d5f78e2c6b12450b92504feec29b237d4072fc4529c207090\" alt=\"12 point 5 0 g, plus 1 point 5 0 t, equals 80\"></span>.</p><p>Choices A and B are incorrect. The expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/8ffe274b3ab60da6f18e4ac3fb7bf4f1fb16088dcc24a73a9b3dae7552bc787b\" alt=\"g plus t \"></span> represents the total number of the two types of passes Tony buys in a month, not the amount Tony spends, which is equal to 80, nor the cost of one of each pass, which is equal to <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/381a4dd05a9b96b98ca009d8eb82c9113e70e1a931fc6bc4b64f8d658f452d13\" alt=\"1 point 5 0, plus 12 point 5 0\"></span>. Choice C is incorrect and may result from reversing the cost for each type of pass Tony buys in a month.</p><p>&nbsp;</p><p></p>\n","correct_answer":["D"],"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 \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0c9ecc741334f397627746ac0d9c06eb82291251d519cefa41f39c85bac0497e\" alt=\"g plus t, equals 80\"></span></span></p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c74f3b4f564d18470ddbd4e498699382e21ae8505dc69172fa8dfc435ac28e25\" alt=\"g plus t, equals, 1 point 5 0 plus 12 point 5 0\"></span></span></p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e9ab0f4559794438ec75b3ce531df17be92280113872a27cf43169a0b7e7c0f1\" alt=\"1 point 5 0 g plus 12 point 5 0 t, equals 80\"></span></span></p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/13ee3a41d9d0a56724ec35c77df9038c37f06ea8e9e9e7de02c7da5fb51f3a29\" alt=\"12 point 5 0 g plus 1 point 5 0 t, equals 80\"></span></span></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}}