{"id":"cb_question_bank:b61c450b-348e-4561-bf3b-9193f3fa2b53","source_id":"cb_question_bank","source_item_id":"b61c450b-348e-4561-bf3b-9193f3fa2b53","external_id":"cdf32e4b-02c1-4140-951c-3af80dec3e9f","ibn":null,"question_id":"cee5b352","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The length, y , of a white whale was 162 centimeters left parenthesis cm right parenthesis when it was born and increased an average of 4.8 cm per month for the first 12 months after it was born. Which equation best represents this situation, where x is the number of months after the whale was born and y is the length, in cm , of the whale?","stimulus":"","stimulus_html":null,"stem_html":"

The length, y\n, of a white whale was 162 centimeters cm when it was born and increased an average of 4.8 cm per month for the first 12\n months after it was born. Which equation best represents this situation, where x\n is the number of months after the whale was born and y\n is the length, in cm, of the whale?

","rationale_html":"

Choice D is correct. It's given that the length of the whale was 162 cm when it was born and that its length increased an average of 4.8 cm per month for the first 12\n months after it was born. Since x\n represents the number of months after the whale was born, the total increase in the whale's length, in cm, is 4.8\n times x\n, or \n\t4.8\n\tx\n\n. The length of the whale y\n, in cm, can be found by adding the whale's length at birth, 162 cm, to the total increase in length, 4.8x cm. Therefore, the equation that best represents this situation is \n\ty\n\t=\n\t\n\t\t\n\t\t\t4.8\n\t\t\tx\n\t\t\n\t\t+\n\t\t162\n\t\n\n.

\n

Choice A is incorrect and may result from conceptual errors.

\n

Choice B is incorrect and may result from conceptual errors.

\n

Choice C is incorrect and may result from conceptual errors.

","correct_answer":["D"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.810000+00:00","source_updated_at":"2023-08-02T20:25:59.810000+00:00","options":[{"label":"A","content_html":"

\n\ty\n\t=\n\t\n\t\t162\n\t\tx\n\t\n\n

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

\n\ty\n\t=\n\t\n\t\t\n\t\t\t162\n\t\t\tx\n\t\t\n\t\t+\n\t\t162\n\t\n\n

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

\n\ty\n\t=\n\t\n\t\t\n\t\t\t4.8\n\t\t\tx\n\t\t\n\t\t+\n\t\t4.8\n\t\n\n

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

\n\ty\n\t=\n\t\n\t\t\n\t\t\t4.8\n\t\t\tx\n\t\t\n\t\t+\n\t\t162\n\t\n\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}}