{"id":"cb_practice_pdf:t9-math-m2-q8","source_id":"cb_practice_pdf","source_item_id":"t9-math-m2-q8","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":"Part of this question was typeset outside the text flow — a fraction, subscript or similar — and PDF extraction re-inserted it in the wrong place. The wording is reliable; the symbols may be out of order.","form_id":"cb_practice_pdf:test-9","module_number":2,"position":8,"stem":"x y 0 18 1 13 2 8 The table shows three values of x and their corresponding values of y. There is a linear relationship between x and y. Which of the following equations represents this relationship? y = 18x+13","stimulus":"","stimulus_html":null,"stem_html":"<p>x y 0 18 1 13 2 8 The table shows three values of x and their corresponding values of y. There is a linear relationship between x and y. Which of the following equations represents this relationship? y = 18x+13</p>","rationale_html":"<p>Choice D is correct. A linear relationship can be represented by an equation of the = + form y mx b, where m and b are constants. It’s given in the table that when = =18 18 = + x 0, y . Substituting 0 for x and for y in y mx b yields 18= 0 + 18= 18 = + m^ h b, or b. Substituting for b in the equation y mx b yields = +18 = =13 y mx . It’s also given in the table that when x 1, y . Substituting 1 for 13 = +18 13= 1 +18 13= +18 x and for y in the equation y mx yields m^ h , or m . 18 - = Subtracting from both sides of this equation yields 5 m. Therefore, the =-5 +18 equation y x represents the relationship between x and y. 41 SAT PRACTICE TEST #9 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 2 Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["D"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"","ord":0},{"label":"B","content_html":"<p>y = 18x+18 y = −5x+13</p>","ord":1},{"label":"C","content_html":"<p>y = −5x+18</p>","ord":2},{"label":"D","content_html":"","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}