{"id":"cb_question_bank:72edbd43-c8e4-49b8-8eb1-9653d20a3d58","source_id":"cb_question_bank","source_item_id":"72edbd43-c8e4-49b8-8eb1-9653d20a3d58","external_id":null,"ibn":"070609-DC","question_id":"f09097b1","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.A.","skill":"Linear equations in one variable","difficulty":"M","score_band":5,"answer_type":"spr","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"An agricultural scientist studying the growth of corn plants recorded the height of a corn plant at the beginning of a study and the height of the plant each day for the next 12 days. The scientist found that the height of the plant increased by an average of 1.20 centimeters per day for the 12 days. If the height of the plant on the last day of the study was 36.8 centimeters, what was the height, in centimeters, of the corn plant at the beginning of the study?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">An agricultural scientist studying the growth of corn plants recorded the height of a corn plant at the beginning of a study and the height of the plant each day for the next 12&nbsp;days. The scientist found that the height of the plant increased by an average of 1.20&nbsp;centimeters per day for the 12&nbsp;days. If the height of the plant on the last day of the study was 36.8&nbsp;centimeters, what was the height, in centimeters, of the corn plant at the beginning of the study?</p>\n","rationale_html":"<p>The correct answer is 22.4. If the height of the plant increased by an average of 1.20 centimeters per day for 12 days, then its total growth over the 12 days was <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c3f2ce28b28a5d2f8d0e8874295d2b8ca39b386295c2195568b47f7bd04881e7\" alt=\"1 point 2 0, times 12, equals 14.4\"></span> centimeters. The plant was 36.8 centimeters tall after 12 days, so at the beginning of the study&nbsp;its height was <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c9f3f479e0895c33473561dff3145f5a369d427f0737b1c599c5556960002aff\" alt=\"36 point 8, minus 14 point 4, equals 22 point 4\"></span> centimeters. Note that 22.4 and 112/5 are examples of ways to enter a correct answer.</p><p>Alternate approach:&nbsp;The equation <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/403140ff41ad46b4421e0a7d6e6851897ce36339c61e1c2d5c3d5ab4bd84cff1\" alt=\"36 point 8 equals, 12, times, 1 point 2 0, plus h\"></span><span class=\"italic\"></span> can be used to represent this situation, where <span class=\"italic\">h</span> is the height of the plant, in centimeters, at the beginning of the study. Solving this equation for <span class=\"italic\">h </span>yields 22.4 centimeters.</p><p></p>\n","correct_answer":["22.4"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.631000+00:00","source_updated_at":"2023-08-02T20:25:59.631000+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}}