{"id":"cb_question_bank:e27e20e8-fbd3-4e37-b609-b11b4a8df417","source_id":"cb_question_bank","source_item_id":"e27e20e8-fbd3-4e37-b609-b11b4a8df417","external_id":null,"ibn":"05321-DC","question_id":"566759ef","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.B.","skill":"Percentages","difficulty":"M","score_band":5,"answer_type":"mcq","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Thomas installed a new stove in his restaurant. At the time of installation, the stove had a value of $800. Thomas estimates that each year the value of the stove will depreciate by 20% of the previous year’s estimated value. What is the estimated value of the stove exactly 2 years after Thomas installed it?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">Thomas installed a new stove in his restaurant. At the time of installation, the stove had a value of $800. Thomas estimates that each year the value of the stove will depreciate by 20% of the previous year’s estimated value. What is the estimated value of the stove exactly 2&nbsp;years after Thomas installed it?</p>\n","rationale_html":"<p>Choice B is correct. If the stove’s value depreciates by 20% of the previous year’s estimated value, then each year it retains 100% – 20% = 80%, or 0.80, of the previous year’s estimated value. Since the stove’s value was $800 when Thomas installed it, the estimated value after two years would be (0.80)(0.80)($800) = $512.</p><p>Choice A is incorrect. This is the value of the stove if each year it had depreciated by 20% of the original value rather than by 20% of the previous year’s estimated value. Choice C is incorrect and may be the result of a computational error. Choice D is incorrect. This is the estimated value of the stove 1 year after Thomas installed it, not 2 years.</p><p>&nbsp;</p><p></p>\n","correct_answer":["B"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.629000+00:00","source_updated_at":"2023-08-02T20:25:59.629000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">$480</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">$512</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">$556</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">$640</p>\n","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}}