{"id":"cb_question_bank:282adec4-e2b5-471c-bfae-63efc8f64354","source_id":"cb_question_bank","source_item_id":"282adec4-e2b5-471c-bfae-63efc8f64354","external_id":"2870e625-1e5c-4b4d-be09-4cc08fc8d83b","ibn":null,"question_id":"6105234d","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.A.","skill":"Linear equations in one variable","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"John paid a total of dollar sign 165 for a microscope by making a down payment of dollar sign 37 plus p monthly payments of dollar sign 16 each. Which of the following equations represents this situation?","stimulus":"","stimulus_html":null,"stem_html":"

John paid a total of $165\n for a microscope by making a down payment of $37\n plus p\n monthly payments of $16\n each. Which of the following equations represents this situation?

","rationale_html":"

Choice C is correct. It’s given that John made a $16 payment each month for p\n months. The total amount of these payments can be represented by the expression \n\t16\n\tp\n\n. The down payment can be added to that amount to find the total amount John paid, yielding the expression \n\t\n\t\t16\n\t\tp\n\t\n\t+\n\t37\n\n. It’s given that John paid a total of $165. Therefore, the expression for the total amount John paid can be set equal to that amount, yielding the equation \n\t\n\t\t\n\t\t\t16\n\t\t\tp\n\t\t\n\t\t+\n\t\t37\n\t\n\t=\n\t165\n\n.

\n

Choice A is incorrect and may result from conceptual or calculation errors.

\n

Choice B is incorrect and may result from conceptual or calculation errors.

\n

Choice D is incorrect and may result from conceptual or calculation errors.

","correct_answer":["C"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.808000+00:00","source_updated_at":"2023-08-02T20:25:59.808000+00:00","options":[{"label":"A","content_html":"

\n\t\n\t\t\n\t\t\t16\n\t\t\tp\n\t\t\n\t\t-\n\t\t37\n\t\n\t=\n\t165\n\n

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

\n\t\n\t\t\n\t\t\t37\n\t\t\tp\n\t\t\n\t\t-\n\t\t16\n\t\n\t=\n\t165\n\n

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

\n\t\n\t\t\n\t\t\t16\n\t\t\tp\n\t\t\n\t\t+\n\t\t37\n\t\n\t=\n\t165\n\n

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

\n\t\n\t\t\n\t\t\t37\n\t\t\tp\n\t\t\n\t\t+\n\t\t16\n\t\n\t=\n\t165\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}}