{"id":"cb_practice_pdf:t11-math-m1-q3","source_id":"cb_practice_pdf","source_item_id":"t11-math-m1-q3","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-11","module_number":1,"position":3,"stem":"3 For the linear function f, the graph of y = f x in ^ h the xy-plane has a slope of 7 and passes through the point 0,5. Which equation defines f? ^ h =","stimulus":"","stimulus_html":null,"stem_html":"<p>3 For the linear function f, the graph of y = f x in ^ h the xy-plane has a slope of 7 and passes through the point 0,5. Which equation defines f? ^ h =</p>","rationale_html":"<p>Choice C is correct. An equation that defines a linear function f can be written in = + = the form f^xh mx b, where m is the slope of the graph of y f^xh in the 0, xy-plane and ^ bh is the y-intercept of the graph. It’s given that for the linear = = function f, the graph of y f^xh in the xy-plane has a slope of 7. Therefore, m 7. 34 SAT PRACTICE TEST #11 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1 = It’s also given that the graph of y f^xh in the xy-plane passes through the 0,5 0,5 point ^ h. Therefore, the y-intercept of the graph is ^ h, and it follows that = = + b 5. Substituting 7 for m and 5 for b in the equation f^xh mx b yields =7 +5 f^xh x . Choice A is incorrect. This equation defines a function whose graph has a slope of 0,0 0,5 5, not 7, and passes through the point ^ h, not ^ h. Choice B is incorrect. This 35 equation defines a function whose graph has a slope of , not 7, and passes 0,0 0,5 through the point ^ h, not ^ h. Choice D is incorrect. This equation defines a 12 function whose graph has a slope of , not 7.</p>","correct_answer":["C"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>f x 5x ^ h =</p>","ord":0},{"label":"B","content_html":"<p>f x 35x ^ h = +</p>","ord":1},{"label":"C","content_html":"<p>f x 7x 5 ^ h</p>","ord":2},{"label":"D","content_html":"<p>f x = 12x + 5 ^ h</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}}