{"id":"cb_question_bank:4f044809-79a7-4e0a-9792-a1b439ae94a1","source_id":"cb_question_bank","source_item_id":"4f044809-79a7-4e0a-9792-a1b439ae94a1","external_id":null,"ibn":"03862-DC","question_id":"3638f413","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.A.","skill":"Ratios, rates, proportional relationships, and units","difficulty":"H","score_band":6,"answer_type":"spr","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Jeremy deposited x dollars in his investment account on January 1, 2001. The amount of money in the account doubled each year until Jeremy had 480 dollars in his investment account on January 1, 2005. What is the value of x ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">Jeremy deposited <span class=\"italic\">x</span> dollars in his investment account on January 1, 2001. The amount of money&nbsp;in the account doubled each year until Jeremy&nbsp;had 480&nbsp;dollars in his investment account on January&nbsp;1,&nbsp;2005. What is the value&nbsp;of&nbsp;<span class=\"italic\">x&nbsp;</span>?</p>\n","rationale_html":"<p>The correct answer is 30. The situation can be represented by the equation <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5839087d043ceec8b7b5f057cba2605231fff83551ef3cc0234d7ec03f46eebb\" alt=\"x times, open parenthesis, 2 to the fourth power, close parenthesis, equals 480\"></span>, where the 2 represents the fact that the amount of money in the account doubled each year and the 4 represents the fact that there are 4 years between January 1, 2001, and January 1, 2005. Simplifying <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5839087d043ceec8b7b5f057cba2605231fff83551ef3cc0234d7ec03f46eebb\" alt=\"x times, open parenthesis, 2 to the fourth power, close parenthesis, equals 480\"></span> gives <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/f861c4ef1638bc46c33bf226d600796b1bf4e2c48eda1c92d5b4ec2b3a2b3201\" alt=\"16 x equals 480\"></span>. Therefore, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b4bfe036194e30a72383121d0c810dfa70f4a6ba134fe4dd0eb864bbcc63a43e\" alt=\"x equals 30\"></span>.</p>\n","correct_answer":["30"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.627000+00:00","source_updated_at":"2023-08-02T20:25:59.627000+00:00","options":[],"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}}