f(x) 206(1.034)^x The function = models the value, in dollars, of a certain bank account by the end of each year from 1957 through 1972, where x is the number of years after 1957. Which of the following is f(5) the best interpretation of “ is approximately equal to 243” in this context?
","rationale_html":"( =) ( )x Choice B is correct. It’s given that the function f x 2061.034 models the value, in dollars, of a certain bank account by the end of each year from 1957 ( ) through 1972, where x is the number of years after 1957. It follows that f x represents the estimated value, in dollars, of the bank account x years after ( ) ( ) = ( ) 1957. Since the value of f 5 is the value of f x when x 5, it follows that “f 5 ( ) is approximately equal to 243” means that f x is approximately equal to 243 = when x 5. In the given context, this means that the value of the bank account is estimated to be approximately 243 dollars 5 years after 1957. Therefore, the ( ) best interpretation of the statement “f 5 is approximately equal to 243” in this context is the value of the bank account is estimated to be approximately 243 dollars in 1962. Choice A 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 conceptual errors.
","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":"The value of the bank account is estimated to be approximately 5 dollars greater in 1962 than in 1957.
","ord":0},{"label":"B","content_html":"The value of the bank account is estimated to be approximately 243 dollars in 1962.
","ord":1},{"label":"C","content_html":"The value, in dollars, of the bank account is estimated to be approximately 5 times greater in 1962 than in 1957.
","ord":2},{"label":"D","content_html":"The value of the bank account is estimated to increase by approximately 243 dollars every 5 years between 1957 and 1972.
","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}}