{"id":"cb_practice_pdf:t4-math-m1-q8","source_id":"cb_practice_pdf","source_item_id":"t4-math-m1-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-4","module_number":1,"position":8,"stem":"x f(x) 0 2 9 1 3 2 2 3 5 For the linear function f, the table shows three values f(x) of x and their corresponding values of. Which f(x) equation defines? f(x)","stimulus":"","stimulus_html":null,"stem_html":"<p>x f(x) 0 2 9 1 3 2 2 3 5 For the linear function f, the table shows three values f(x) of x and their corresponding values of. Which f(x) equation defines? f(x)</p>","rationale_html":"<p>Choice A is correct. An equation that defines a linear function f can be written ( ) = + in the form f x mx b, where m and b are constants. It’s given in the table = ( )= ( ) that when x 0, f x 29. Substituting 0 for x and 29 for f x in the equation ( ) = + (=) + = f x mx b yields 29 0 m , or b29 b. Substituting 29 for b in the ( ) = + ( ) = + equation f x mx b yields f x mx 29. It’s also given in the table that = ( )= ( ) when x 1, f x 32. Substituting 1 for x and 32 for f x in the equation 35 SAT PRACTICE TEST #4 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS nnn MATH: MODULE 1 ( ) = + (=) + = + f x mx 29 yields 32 m 1 29, or 32 m 29. Subtracting 29 from = both sides of this equation yields 3 m. Substituting 3 for m in the equation ( ) = + ( ) = + f x mx 29 yields f x 3 x 29. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["A"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>= 3x+2 9 ( )</p>","ord":0},{"label":"B","content_html":"<p>f x = 29x+3 2 f(x)</p>","ord":1},{"label":"C","content_html":"<p>= 35x+2 9 f(x)</p>","ord":2},{"label":"D","content_html":"<p>= 32x+3 5</p>","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}}