{"id":"cb_question_bank:76a35eff-d204-4d5f-9529-dc72f9a6cdad","source_id":"cb_question_bank","source_item_id":"76a35eff-d204-4d5f-9529-dc72f9a6cdad","external_id":null,"ibn":"023185-DC","question_id":"dd797fe2","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":"Mario purchased 4 binders that cost x dollars each and 3 notebooks that cost y dollars each. If the given equation represents this situation, which of the following is the best interpretation of 24 in this context?","stimulus":"4 x plus 3 y, equals 24","stimulus_html":"<div class=\"stimulus_reference \">\n        <p class=\"standalone_statement style:1 \">\n          <span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/3338bf76c41883c89f51bf3272ec75f8b1c44060115be8e70d0d60eab56ad7c0\" alt=\"4 x plus 3 y, equals 24\"></span></span>\n        </p>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">Mario purchased 4 binders that cost <span class=\"italic\">x</span> dollars each and 3 notebooks that cost <span class=\"italic\">y</span> dollars each. If the given equation represents this situation, which of the following is the best interpretation of 24 in this context?</p>\n","rationale_html":"<p>Choice C is correct. Since Mario purchased 4 binders that cost <span class=\"italic\">x</span> dollars each, the expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7adc89e3388ae4198c11d1e3b13996a15a73c08837b3da001c18c677edd5fde3\" alt=\"4 x \"></span> represents the total cost, in dollars, of the 4 binders he purchased. Since Mario purchased 3 notebooks that cost <span class=\"italic\">y</span> dollars each, the expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/fd998a697385861e94dc5ef2a748856c55abcef5016c09f3bfce5b7614e0e54a\" alt=\"3 y \"></span> represents the total cost, in dollars, of the 3 notebooks he purchased. Therefore, the expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/00e11d2a98c6fd49f35866d5d5f962df100cc20408482363cfc5aa7553ba3e6d\" alt=\"4 x plus 3 y \"></span> represents the total cost, in dollars, for all binders and notebooks he purchased. In the given equation, the expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/00e11d2a98c6fd49f35866d5d5f962df100cc20408482363cfc5aa7553ba3e6d\" alt=\"4 x plus 3 y \"></span> is equal to 24. Therefore, it follows that 24 is the total cost, in dollars, for all binders and notebooks purchased.</p><p>Choice A is incorrect. This is represented by the expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7adc89e3388ae4198c11d1e3b13996a15a73c08837b3da001c18c677edd5fde3\" alt=\"4 x \"></span> in the given equation. Choice B is incorrect. This is represented by the expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/fd998a697385861e94dc5ef2a748856c55abcef5016c09f3bfce5b7614e0e54a\" alt=\"3 y \"></span> in the given equation. <span class=\"tcp-f5999a1e-938a-4c88-b9d9-7e9b225f80dc\"></span>Choice D is incorrect. This is represented by the expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/48a4ad19d389f6d75af750c6468b01d3897bddf31b7458b72936d76e32e522f6\" alt=\"the absolute value of, 4 x minus 3 y, end absolute value\"></span>.</p><p></p>\n","correct_answer":["C"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.618000+00:00","source_updated_at":"2023-08-02T20:25:59.618000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">The total cost, in dollars, for all binders purchased</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">The total cost, in dollars, for all notebooks purchased</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">The total cost, in dollars, for all binders and notebooks purchased</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">The difference in the total cost, in dollars, between the number of binders and notebooks purchased</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}}