{"id":"cb_practice_pdf:t4-math-m2-q9","source_id":"cb_practice_pdf","source_item_id":"t4-math-m2-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-4","module_number":2,"position":9,"stem":"The function f is defined by f(x) = 270(0.1)^x. What is the value of f(0)?","stimulus":"","stimulus_html":null,"stem_html":"<p>The function f is defined by f(x) = 270(0.1)^x. What is the value of f(0)?</p>","rationale_html":"<p>( ) ( ) = Choice D is correct. The value of f 0 is the value of f x when x 0. ( )= ( )0 Substituting 0 for x in the given function yields f 0 270 0.1 , or ( )= ( ) ( )= ( ) f 0 270 1, which is equivalent to f 0 270. Therefore, the value of f 0 is 270. ( ) Choice A is incorrect. This is the value of x, not f x . Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect. This is the ( ) ( ) value of f 1, not f 0 .</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>0</p>","ord":0},{"label":"B","content_html":"<p>1</p>","ord":1},{"label":"C","content_html":"<p>27</p>","ord":2},{"label":"D","content_html":"<p>270</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}}