{"id":"cb_question_bank:952016a8-9107-4e0a-a5e3-669b2a65788f","source_id":"cb_question_bank","source_item_id":"952016a8-9107-4e0a-a5e3-669b2a65788f","external_id":"d38233c5-51bc-4d5b-b405-07bfe9387efc","ibn":null,"question_id":"72ae8a87","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.C.","skill":"Nonlinear functions","difficulty":"E","score_band":3,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The function f left parenthesis x right parenthesis equals 200,000 left parenthesis 1.21 right parenthesis Superscript x gives a company’s predicted annual revenue, in dollars, x years after the company started selling light bulbs online, where 0 less than x less than or equals 10 . What is the best interpretation of the statement “ f left parenthesis 5 right parenthesis is approximately equal to 518,748 ” in this context?","stimulus":"","stimulus_html":null,"stem_html":"

The function f(x)=200,0001.21x gives a company’s predicted annual revenue, in dollars, x\n years after the company started selling light bulbs online, where 0<x≤10. What is the best interpretation of the statement “f5 is approximately equal to 518,748\n” in this context?

","rationale_html":"

Choice A is correct. It's given that the function fx=200,0001.21x gives a company's predicted annual revenue, in dollars, x years after the company started selling light bulbs online. It follows that fx represents the company's predicted annual revenue, in dollars, x years after the company started selling light bulbs online. Since the value of f5 is the value of fx when x=5, it follows that \"f5 is approximately equal to 518,748\" means that fx is approximately equal to 518,748 when x=5. Therefore, the best interpretation of the statement \"f5 is approximately equal to 518,748\" in this context is 5 years after the company started selling light bulbs online, its predicted annual revenue is approximately 518,748 dollars.

\n

Choice B is incorrect and may result from conceptual errors.

\n

Choice C is incorrect and may result from conceptual errors.

\n

Choice D is incorrect and may result from conceptual errors.

","correct_answer":["A"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.826000+00:00","source_updated_at":"2023-08-02T20:25:59.826000+00:00","options":[{"label":"A","content_html":"

5\n years after the company started selling light bulbs online, its predicted annual revenue is approximately 518,748\n dollars.

","ord":0},{"label":"B","content_html":"

5\n years after the company started selling light bulbs online, its predicted annual revenue will have increased by a total of approximately 518,748\n dollars.

","ord":1},{"label":"C","content_html":"

When the company’s predicted annual revenue is approximately 518,748\n dollars, it is 5\n times the predicted annual revenue for the previous year.

","ord":2},{"label":"D","content_html":"

When the company’s predicted annual revenue is approximately 518,748\n dollars, it is 5\n% greater than the predicted annual revenue for the previous year.

","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}