{"id":"cb_practice_pdf:t10-math-m1-q15","source_id":"cb_practice_pdf","source_item_id":"t10-math-m1-q15","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":15,"stem":"= 6w^2 The function f ( w) gives the area of a rectangle, in square feet (ft^2), if its width is w ft and its length is 6 times its width. Which of the following is the best interpretation of f ( 14) = 1,176?","stimulus":"","stimulus_html":null,"stem_html":"<p>= 6w^2 The function f ( w) gives the area of a rectangle, in square feet (ft^2), if its width is w ft and its length is 6 times its width. Which of the following is the best interpretation of f ( 14) = 1,176?</p>","rationale_html":"<p>ft2 Choice A is correct. The function f gives the area of the rectangle, in , if its ft 14 =14 width is w . Since the value of f^ h is the value of f^wh if w , it follows that 14 =1,176 1,176 =14 f^ h means that f^wh is if w . In the given context, this means 14ft 1,176ft2 that if the width of the rectangle is , then the area of the rectangle is . Choice B is incorrect and may result from conceptual errors. Choice C is incorrect and may result from conceptual errors. Choice D is incorrect and may result from ft ft2 interpreting f^wh as the width, in , of the rectangle if its area is w , rather than ft2 ft as the area, in , of the rectangle if its width is w .</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>If the width of the rectangle is 14 ft, then the area ft^2 of the rectangle is 1,176 .</p>","ord":0},{"label":"B","content_html":"<p>If the width of the rectangle is 14 ft, then the length of the rectangle is 1,176 ft.</p>","ord":1},{"label":"C","content_html":"<p>If the width of the rectangle is 1,176 ft, then the length of the rectangle is 14 ft.</p>","ord":2},{"label":"D","content_html":"<p>If the width of the rectangle_2 is 1,176 ft, then the area of the rectangle is 14 ft .</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}}