{"id":"cb_question_bank:7276af31-bb7f-45e7-8c0a-98c1325b63ca","source_id":"cb_question_bank","source_item_id":"7276af31-bb7f-45e7-8c0a-98c1325b63ca","external_id":"a63a0a09-9923-4dab-b757-04fffd0b40b1","ibn":null,"question_id":"e7343559","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.C.","skill":"Linear equations in two variables","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"y equals minus 4 x plus 40 Which table gives three values of x and their corresponding values of y for the given equation?","stimulus":"","stimulus_html":null,"stem_html":"

\n\ty\n\t=\n\t\n\t\t\n\t\t\t-\n\t\t\t4\n\t\t\tx\n\t\t\n\t\t+\n\t\t40\n\t\n\n

\n

Which table gives three values of x\n and their corresponding values of y\n for the given equation?

","rationale_html":"

Choice C is correct. Each of the given choices gives three values of x\n: 0\n, 1\n, and 2\n. Substituting 0\n for x\n in the given equation yields y=-40+40, or \n\ty\n\t=\n\t40\n\n. Therefore, when \n\tx\n\t=\n\t0\n\n, the corresponding value of y\n for the given equation is 40\n. Substituting 1\n for x\n in the given equation yields y=-41+40, or \n\ty\n\t=\n\t36\n\n. Therefore, when \n\tx\n\t=\n\t1\n\n, the corresponding value of y\n for the given equation is 36\n. Substituting 2\n for x\n in the given equation yields y=-42+40, or \n\ty\n\t=\n\t32\n\n. Therefore, when \n\tx\n\t=\n\t2\n\n, the corresponding value of y\n for the given equation is 32\n. Choice C gives three values of x\n, 0\n, 1\n, and 2\n, and their corresponding values of y\n, 40\n, 36\n, and 32\n, respectively, for the given equation.

\n

Choice A is incorrect. This table gives three values of x\n and their corresponding values of y\n for the equation \n\ty\n\t=\n\t\n\t\t-\n\t\t4\n\t\tx\n\t\n\n.

\n

Choice B is incorrect. This table gives three values of x\n and their corresponding values of y\n for the equation \n\ty\n\t=\n\t\n\t\t\n\t\t\t4\n\t\t\tx\n\t\t\n\t\t+\n\t\t40\n\t\n\n.

\n

Choice D is incorrect. This table gives three values of x\n and their corresponding values of y\n for the equation \n\ty\n\t=\n\t\n\t\t4\n\t\tx\n\t\n\n.

","correct_answer":["C"],"has_media":false,"has_mathml":true,"has_table":true,"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\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
x\ny\n
0\n0\n
1\n-4\n
2\n-8\n
","ord":0},{"label":"B","content_html":"
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
x\ny\n
0\n40\n
1\n44\n
2\n48\n
","ord":1},{"label":"C","content_html":"
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
x\ny\n
0\n40\n
1\n36\n
2\n32\n
","ord":2},{"label":"D","content_html":"
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
x\ny\n
0\n0\n
1\n4\n
2\n8\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}}