{"id":"cb_question_bank:f055e587-6355-4327-997f-d47cbc5762c1","source_id":"cb_question_bank","source_item_id":"f055e587-6355-4327-997f-d47cbc5762c1","external_id":"741f638a-272e-4982-91a9-50a01668f587","ibn":null,"question_id":"58171b5e","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.D.","skill":"Two-variable data: Models and scatterplots","difficulty":"M","score_band":5,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Each year, the value of an investment increases by 0.49 percent sign of its value the previous year. Which of the following functions best models how the value of the investment changes over time?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">Each year, the value of an investment increases by <math alttext=\"0.49 percent sign\"><mn>0.49</mn>\n<mo>%</mo></math> of its value the previous year. Which of the following functions best models how the value of the investment changes over time?</p>","rationale_html":"<p>Choice C is correct. Because the value of the investment increases each year, the function that best models how the value of the investment changes over time is an increasing function. It′s given that each year, the value of the investment increases by <math alttext=\"0.49 percent sign\"><mn>0.49</mn><mo>%</mo></math> of its value the previous year. Since the value of the investment changes by a fixed percentage each year, the function that best models how the value of the investment changes over time is an exponential function. Therefore, the function that best models how the value of the investment changes over time is an increasing exponential function.</p>\n<p>Choice A is incorrect and may result from conceptual errors.</p>\n<p>Choice B is incorrect and may result from conceptual errors.</p>\n<p>Choice D is incorrect and may result from conceptual errors.</p>","correct_answer":["C"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.835000+00:00","source_updated_at":"2023-08-02T20:25:59.835000+00:00","options":[{"label":"A","content_html":"<p style=\"text-align: left;\">Decreasing exponential</p>","ord":0},{"label":"B","content_html":"<p style=\"text-align: left;\">Decreasing linear</p>","ord":1},{"label":"C","content_html":"<p style=\"text-align: left;\">Increasing exponential</p>","ord":2},{"label":"D","content_html":"<p style=\"text-align: left;\">Increasing linear</p>","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}}