{"id":"cb_practice_pdf:t10-math-m1-q3","source_id":"cb_practice_pdf","source_item_id":"t10-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":null,"form_id":"cb_practice_pdf:test-10","module_number":1,"position":3,"stem":"The total cost, in dollars, to rent a surfboard consists $25 $10 of a service fee and a per hour rental fee. A person rents a surfboard for t hours and intends to spend a maximum of $75 to rent the surfboard. Which inequality represents this situation?","stimulus":"","stimulus_html":null,"stem_html":"<p>The total cost, in dollars, to rent a surfboard consists $25 $10 of a service fee and a per hour rental fee. A person rents a surfboard for t hours and intends to spend a maximum of $75 to rent the surfboard. Which inequality represents this situation?</p>","rationale_html":"<p>Choice D is correct. The cost of the rental fee depends on the number of hours 10 the surfboard is rented. Multiplying t hours by dollars per hour yields a rental 10 fee of t dollars. The total cost of the rental consists of the rental fee plus the 25 25+10 dollar service fee, which yields a total cost of t dollars. Since the 75 person intends to spend a maximum of dollars to rent the surfboard, the total 75 25+10 #75 cost must be at most dollars. Therefore, the inequality t represents this situation. 32 SAT PRACTICE TEST #10 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1 Choice A is incorrect. This represents a situation where the rental fee, not the total 75 cost, is at most dollars. 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":"<p>10t ≤ 75</p>","ord":0},{"label":"B","content_html":"<p>10+25t ≤ 75 25t ≤ 75</p>","ord":1},{"label":"C","content_html":"","ord":2},{"label":"D","content_html":"<p>25 +10t ≤ 75</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}}