{"id":"cb_practice_pdf:t11-math-m1-q17","source_id":"cb_practice_pdf","source_item_id":"t11-math-m1-q17","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-11","module_number":1,"position":17,"stem":"17 The cost to rent a bus from Company X is $950 for the first 3 hours and an additional $50 per hour for each hour after the first 3 hours. If the total cost to rent the bus from Company X for t hours, where t > 3, is $1,150, which equation represents this situation?","stimulus":"","stimulus_html":null,"stem_html":"<p>17 The cost to rent a bus from Company X is $950 for the first 3 hours and an additional $50 per hour for each hour after the first 3 hours. If the total cost to rent the bus from Company X for t hours, where t &gt; 3, is $1,150, which equation represents this situation?</p>","rationale_html":"<p>$950 Choice C is correct. It’s given that the cost to rent a bus is for the first $50 3 hours and an additional per hour for each hour after the first 3 hours. It’s &gt; also given that t represents the total number of hours and t 3. Therefore, the number of additional hours after the first 3 hours can be represented by the - $50 expression t 3. The cost for these additional hours is per hour, so the cost 50 -3 for the additional hours can be represented by the expression ^t h. The total cost can be calculated by adding the cost for the first 3 hours to the cost for the 950+50 -3 additional hours and can be represented by the expression ^t h. It’s also given that the total cost to rent the bus from the company for t hours is $1,150 . Thus, the equation that represents this situation is 950+50 -3 =1,150 ^t h . Choice A is incorrect and may result from conceptual errors. Choice B is incorrect and may result from conceptual errors. Choice D is incorrect and may result from conceptual errors.</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>950 t - 3 + 50t = 1,150 ^ h + =</p>","ord":0},{"label":"B","content_html":"<p>950 3t 50t 1,150 ^ h</p>","ord":1},{"label":"C","content_html":"<p>950 + 50 t - 3 = 1,150 ^ h</p>","ord":2},{"label":"D","content_html":"<p>950 + 50 3t = 1,150 ^ 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}}