{"id":"cb_question_bank:7695f1ef-7131-4a5f-bcfd-fcaee7f6195e","source_id":"cb_question_bank","source_item_id":"7695f1ef-7131-4a5f-bcfd-fcaee7f6195e","external_id":"64377d96-584c-4863-b696-51d7230fc57d","ibn":null,"question_id":"2e0290c3","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.C.","skill":"Linear equations in two variables","difficulty":"M","score_band":5,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The line slants down from left to right. The line passes through the following points: (0 comma 40) (60 comma 0) The graph shows the relationship between the number of shares of stock from Company A, x , and the number of shares of stock from Company B, y , that Simone can purchase. Which equation could represent this relationship?","stimulus":"","stimulus_html":null,"stem_html":"

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n

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The graph shows the relationship between the number of shares of stock from Company A, x\n, and the number of shares of stock from Company B, y\n, that Simone can purchase. Which equation could represent this relationship?

","rationale_html":"

Choice B is correct. The graph shown is a line passing through the points 0,40 and 60,0. Since the relationship between x\n and y\n is linear, if two points on the graph make a linear equation true, then the equation represents the relationship. Substituting 0\n for x\n and 40\n for y\n in the equation in choice B, \n\t\n\t\t\n\t\t\t8\n\t\t\tx\n\t\t\n\t\t+\n\t\t\n\t\t\t12\n\t\t\ty\n\t\t\n\t\n\t=\n\t480\n\n, yields 80+1240=480, or 480=480, which is true. Substituting 60\n for x\n and 0\n for y\n in the equation \n\t\n\t\t\n\t\t\t8\n\t\t\tx\n\t\t\n\t\t+\n\t\t\n\t\t\t12\n\t\t\ty\n\t\t\n\t\n\t=\n\t480\n\n yields 860+120=480, or 480=480, which is true. Therefore, the equation \n\t\n\t\t\n\t\t\t8\n\t\t\tx\n\t\t\n\t\t+\n\t\t\n\t\t\t12\n\t\t\ty\n\t\t\n\t\n\t=\n\t480\n\n represents the relationship between x\n and y\n.

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Choice A is incorrect. The point 0,40 is not on the graph of this equation, since 40=80+12, or 40=12, is not true.

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Choice C is incorrect. The point 0,40 is not on the graph of this equation, since 40=120+8, or 40=8, is not true.

\n

Choice D is incorrect. The point 0,40 is not on the graph of this equation, since 120+840=480, or 320=480, is not true.

","correct_answer":["B"],"has_media":true,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.815000+00:00","source_updated_at":"2023-08-02T20:25:59.815000+00:00","options":[{"label":"A","content_html":"

\n\ty\n\t=\n\t\n\t\t\n\t\t\t8\n\t\t\tx\n\t\t\n\t\t+\n\t\t12\n\t\n\n

","ord":0},{"label":"B","content_html":"

\n\t\n\t\t\n\t\t\t8\n\t\t\tx\n\t\t\n\t\t+\n\t\t\n\t\t\t12\n\t\t\ty\n\t\t\n\t\n\t=\n\t480\n\n

","ord":1},{"label":"C","content_html":"

\n\ty\n\t=\n\t\n\t\t\n\t\t\t12\n\t\t\tx\n\t\t\n\t\t+\n\t\t8\n\t\n\n

","ord":2},{"label":"D","content_html":"

\n\t\n\t\t\n\t\t\t12\n\t\t\tx\n\t\t\n\t\t+\n\t\t\n\t\t\t8\n\t\t\ty\n\t\t\n\t\n\t=\n\t480\n\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}}