{"id":"cb_practice_pdf:t7-math-m1-q26","source_id":"cb_practice_pdf","source_item_id":"t7-math-m1-q26","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-7","module_number":1,"position":26,"stem":"The cost of renting a carpet cleaner is $52 for the first day and $26 for each additional day. Which of the C(d) following functions gives the cost, in dollars, of renting the carpet cleaner for d days, where d is a positive integer? = 26d+26","stimulus":"","stimulus_html":null,"stem_html":"<p>The cost of renting a carpet cleaner is $52 for the first day and $26 for each additional day. Which of the C(d) following functions gives the cost, in dollars, of renting the carpet cleaner for d days, where d is a positive integer? = 26d+26</p>","rationale_html":"<p>$52 Choice A is correct. It’s given that the cost of renting a carpet cleaner is for $26 the first day and for each additional day. Therefore, the cost C^dh, in dollars, of renting the carpet cleaner for d days is the sum of the cost for the first day, $52 - $26 -1 , and the cost for the additional d 1 days, ^d h. It follows that =52+26 -1 =52+26 -26 C^dh ^d h, which is equivalent to C^dh d , or =26 +26 C^dh d . Choice B is incorrect. This function gives the cost of renting a carpet cleaner for $78 $52 $26 d days if the cost is , not , for the first day and for each additional day. Choice C is incorrect. This function gives the cost of renting a carpet cleaner $26 $52 $52 $26 for d days if the cost is , not , for the first day and , not , for each additional day. Choice D is incorrect. This function gives the cost of renting a $130 $52 $52 carpet cleaner for d days if the cost is , not , for the first day and , $26 not , for each additional day.</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>C(d) = 26d+52</p>","ord":0},{"label":"B","content_html":"<p>C(d) = 52d−26</p>","ord":1},{"label":"C","content_html":"<p>C(d) C(d) = 52d+78</p>","ord":2},{"label":"D","content_html":"<p>STO</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}}