{"id":"cb_practice_pdf:t9-math-m2-q12","source_id":"cb_practice_pdf","source_item_id":"t9-math-m2-q12","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-9","module_number":2,"position":12,"stem":"w(t) = 300−4t The function w models the volume of liquid, in milliliters, in a container t seconds after it begins draining from a hole at the bottom. According to the model, what is the predicted volume, in milliliters, draining from the container each second?","stimulus":"","stimulus_html":null,"stem_html":"<p>w(t) = 300−4t The function w models the volume of liquid, in milliliters, in a container t seconds after it begins draining from a hole at the bottom. According to the model, what is the predicted volume, in milliliters, draining from the container each second?</p>","rationale_html":"<p>Choice D is correct. It’s given that the function w models the volume of liquid, in milliliters, in a container t seconds after it begins draining from a hole at the =300-4 =-4 +300 bottom. The given function w^th t can be rewritten as w^th t . 4 1 Thus, for each increase of t by 1, the value of w^th decreases by ^ h, or 4. Therefore, the predicted volume, in milliliters, draining from the container each second is 4 milliliters. Choice A is incorrect. This is the amount of liquid, in milliliters, in the container before the liquid begins draining. Choice B is incorrect and may result from conceptual errors. Choice C is incorrect and may result from conceptual 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>300</p>","ord":0},{"label":"B","content_html":"<p>296</p>","ord":1},{"label":"C","content_html":"<p>75</p>","ord":2},{"label":"D","content_html":"<p>4</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}}