{"id":"cb_question_bank:2726fb63-9fd0-4139-96dd-b306dc4d3770","source_id":"cb_question_bank","source_item_id":"2726fb63-9fd0-4139-96dd-b306dc4d3770","external_id":null,"ibn":"029578-DC","question_id":"3f236a64","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":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"In the table above, the ratio of y to x for each ordered pair is constant. What is the value of k ?","stimulus":"x y 1 4 3 12 5 20 40 k","stimulus_html":"
\n
\n \n \n \n \n \n \n \n \n \n \n
\n x\n \n y\n
14
312
520
40\n k\n
\n
\n","stem_html":"

In the table above, the ratio of y to x for each ordered pair is constant. What is the value of k ?

\n","rationale_html":"

Choice D is correct. Since the ratio of y to x is constant for each ordered pair in the table, the first row can be used to determine that the ratio of y to x is 4 to 1. The proportion \"4 can be used to solve for k. Multiplying each side of the equation by 40 yields \"160.

Choice A is incorrect. This is the value of y when the value of x is 7, not 40. Choice B is incorrect and may result from subtracting 4 from 40 instead of multiplying 40 by 4. Choice C is incorrect and may result from incorrectly setting up the proportion.

\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.626000+00:00","source_updated_at":"2023-08-02T20:25:59.626000+00:00","options":[{"label":"A","content_html":"

28

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

36

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

80

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

160

\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}}