{"id":"cb_practice_pdf:t6-math-m1-q9","source_id":"cb_practice_pdf","source_item_id":"t6-math-m1-q9","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-6","module_number":1,"position":9,"stem":"- - - -_1,800 - - ~ P t = 1.02^t The function P gives the estimated number of marine mammals in a certain area, where t is the number of years since a study began. What is the best P(0) = 1,800 interpretation of in this context?","stimulus":"","stimulus_html":null,"stem_html":"<p>- - - -_1,800 - - ~ P t = 1.02^t The function P gives the estimated number of marine mammals in a certain area, where t is the number of years since a study began. What is the best P(0) = 1,800 interpretation of in this context?</p>","rationale_html":"<p>Choice B is correct. The function P gives the estimated number of marine mammals in a certain area, where t is the number of years since a study began. = 0 =1,800 Since the value of P^0h is the value of P^th when t 0, it follows that P^ h 1,800 = means that the value of P^th is when t 0. Since t is the number of years = since the study began, it follows that t 0 is 0 years since the study began, or 0 =1,800 when the study began. Therefore, the best interpretation of P^ h in this 1,800 context is the estimated number of marine mammals in the area was when the study began. Choice A is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["B"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>The estimated number of marine mammals in the area was 102 when the study began.</p>","ord":0},{"label":"B","content_html":"<p>The estimated number of marine mammals in the area was 1,800 when the study began.</p>","ord":1},{"label":"C","content_html":"<p>The estimated number of marine mammals in the area increased by 102 each year during the study.</p>","ord":2},{"label":"D","content_html":"<p>The estimated number of marine mammals in the area increased by 1,800 each year during the study.</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}}