{"id":"cb_question_bank:c2e82271-deb4-48e4-80cd-ca9fc0c6198d","source_id":"cb_question_bank","source_item_id":"c2e82271-deb4-48e4-80cd-ca9fc0c6198d","external_id":"ea6362be-d602-4fd3-b6df-53518625197a","ibn":null,"question_id":"2e1a7f66","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.C.","skill":"Linear equations in two variables","difficulty":"M","score_band":5,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Figure A and figure B are both regular polygons. The sum of the perimeter of figure A and the perimeter of figure B is 63 inches. The equation 3 x plus 6 y equals 63 represents this situation, where x is the number of sides of figure A and y is the number of sides of figure B. Which statement is the best interpretation of 6 in this context?","stimulus":"","stimulus_html":null,"stem_html":"

Figure A and figure B are both regular polygons. The sum of the perimeter of figure A and the perimeter of figure B is 63\n inches. The equation \n\t\n\t\t\n\t\t\t3\n\t\t\tx\n\t\t\n\t\t+\n\t\t\n\t\t\t6\n\t\t\ty\n\t\t\n\t\n\t=\n\t63\n\n represents this situation, where x\n is the number of sides of figure A and y\n is the number of sides of figure B. Which statement is the best interpretation of 6\n in this context?

","rationale_html":"

Choice A is correct. It’s given that figure A and figure B (not shown) are both regular polygons and the sum of the perimeters of the two figures is 63 inches. It’s also given that x\n is the number of sides of figure A and y\n is the number of sides of figure B, and that the equation 3x+6y=63 represents this situation. Thus, 3x and 6y represent the perimeters, in inches, of figure A and figure B, respectively. Since 6y represents the perimeter, in inches, of figure B and y\n is the number of sides of figure B, it follows that each side of figure B has a length of 6 inches.

\n

Choice B is incorrect. The number of sides of figure B is y\n, not 6\n.

\n

Choice C is incorrect. Since the perimeter, in inches, of figure A is represented by 3x, each side of figure A has a length of 3 inches, not 6 inches.

\n

Choice D is incorrect. The number of sides of figure A is x\n, not 6\n.

","correct_answer":["A"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.814000+00:00","source_updated_at":"2023-08-02T20:25:59.814000+00:00","options":[{"label":"A","content_html":"

Each side of figure B has a length of 6\n inches.

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

The number of sides of figure B is 6\n.

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

Each side of figure A has a length of 6\n inches.

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

The number of sides of figure A is 6\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}}