{"id":"cb_question_bank:c978de6b-cd38-42c8-a5a6-41382e6f6af9","source_id":"cb_question_bank","source_item_id":"c978de6b-cd38-42c8-a5a6-41382e6f6af9","external_id":"103a78aa-4206-460e-8583-9fb2c2c88e63","ibn":null,"question_id":"1efd8202","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 70 x plus 8 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\t70\n\t\t\tx\n\t\t\n\t\t+\n\t\t8\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 A is correct. Each of the given choices gives three values of x\n: 0\n, 2\n, and 4\n. Substituting 0\n for x\n in the given equation yields y=700+8, or \n\ty\n\t=\n\t8\n\n. Therefore, when \n\tx\n\t=\n\t0\n\n, the corresponding value of y\n for the given equation is 8\n. Substituting 2\n for x\n in the given equation yields y=702+8, or \n\ty\n\t=\n\t148\n\n. Therefore, when \n\tx\n\t=\n\t2\n\n, the corresponding value of y\n for the given equation is 148\n. Substituting 4\n for x\n in the given equation yields y=704+8, or \n\ty\n\t=\n\t288\n\n. Therefore, when \n\tx\n\t=\n\t4\n\n, the corresponding value of y\n for the given equation is 288\n. Thus, if the three values of x\n are 0\n, 2\n, and 4\n, then their corresponding values of y\n are 8\n, 148\n, and 288\n, respectively, for the given equation.

\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\t70\n\t\n\n.

\n

Choice C is incorrect and may result from conceptual or calculation errors.

\n

Choice D is incorrect and may result from conceptual or calculation errors.

","correct_answer":["A"],"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\n8\n
2\n148\n
4\n288\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\n70\n
2\n78\n
4\n86\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\n70\n
2\n140\n
4\n280\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\n8\n
2\n132\n
4\n272\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}}