{"id":"cb_practice_pdf:t9-math-m1-q7","source_id":"cb_practice_pdf","source_item_id":"t9-math-m1-q7","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":"spr","answer_source":"rationale","layout_warning":null,"form_id":"cb_practice_pdf:test-9","module_number":1,"position":7,"stem":"A student council group is selling school posters for a p(x) = 5x−220 fundraiser. They use the function to p(x) determine their profit, in dollars, for selling $900 x school posters. In order to earn a profit of, how many school posters must they sell?","stimulus":"","stimulus_html":null,"stem_html":"<p>A student council group is selling school posters for a p(x) = 5x−220 fundraiser. They use the function to p(x) determine their profit, in dollars, for selling $900 x school posters. In order to earn a profit of, how many school posters must they sell?</p>","rationale_html":"<p>224 The correct answer is . It’s given that a student council group uses the =5 -220 function p^xh x to determine their profit p^xh, in dollars, for selling 900 x school posters. Substituting for p^xh in the given function yields 900=5 -220 220 1,120=5 x . Adding to each side of this equation yields x. 224= Dividing each side of this equation by 5 yields x. Therefore, in order to earn $900 224 a profit of , they must sell school posters. 32 SAT PRACTICE TEST #9 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1</p>","correct_answer":["224"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[],"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}}