{"id":"cb_practice_pdf:t10-math-m2-q23","source_id":"cb_practice_pdf","source_item_id":"t10-math-m2-q23","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-10","module_number":2,"position":23,"stem":"f(1) For the exponential function f, the value of is k, where k is a constant. Which of the following equivalent forms of the function f shows the value of k as the coefficient or the base? f(x) = 50(1.6)^x^+1","stimulus":"","stimulus_html":null,"stem_html":"<p>f(1) For the exponential function f, the value of is k, where k is a constant. Which of the following equivalent forms of the function f shows the value of k as the coefficient or the base? f(x) = 50(1.6)^x^+1</p>","rationale_html":"<p>=128 1.6 x -1 Choice C is correct. For the form of the function in choice C, f^xh ^ h , 128 1.6 1-1 128 1.6 0 the value of f^1h can be found as ^ h , which is equivalent to ^ h , or 128 =128 =128 1.6 x -1 . Therefore, k , which is shown in f^xh ^ h as the coefficient. Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors. 45 SAT PRACTICE TEST #10 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 2</p>","correct_answer":["C"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>f(x) = 80(1.6)^x</p>","ord":0},{"label":"B","content_html":"","ord":1},{"label":"C","content_html":"<p>f(x) = 128(1.6)^x^−1</p>","ord":2},{"label":"D","content_html":"<p>f(x) = 204.8(1.6)^x−2</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}}