{"id":"cb_question_bank:f07d28da-c2d0-4840-a8f6-41ab9e939fe0","source_id":"cb_question_bank","source_item_id":"f07d28da-c2d0-4840-a8f6-41ab9e939fe0","external_id":"56513b01-fe94-443b-8898-f5643702eab1","ibn":null,"question_id":"d6456c7a","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":"H","score_band":7,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A certain park has an area of 11,863,808 square yards. What is the area, in square miles , of this park? left parenthesis 1 mile equals 1,760 yards right parenthesis","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">A certain park has an area of <math alttext=\"11,863,808\"><mn>11,863,808</mn>\n</math> square yards. What is the area, in <span style=\"text-decoration: underline;\">square miles</span>, of this park? <math alttext=\"left parenthesis 1 mile  equals 1,760 yards right parenthesis\"><mfenced><mrow><mn>1</mn><mo>&nbsp;</mo><mtext>mile</mtext><mo>=</mo><mn>1,760</mn><mo>&nbsp;</mo><mtext>yards</mtext></mrow></mfenced></math></p>","rationale_html":"<p>Choice B is correct. Since <math alttext=\"1\"><mn>1</mn>\n</math> mile is equal to <math alttext=\"1,760\"><mn>1,760</mn></math> yards, <math alttext=\"1\"><mn>1</mn>\n</math> square mile&nbsp;is equal to <math alttext=\"1,760 squared\"><msup><mn>1,760</mn><mn>2</mn></msup></math>, or <math alttext=\"3,097,600\"><mn>3,097,600</mn></math>, square yards. It’s given that the park has an area of <math alttext=\"11,863,808\"><mn>11,863,808</mn></math> square yards. Therefore, the park has an area of <math alttext=\"left parenthesis 11,863,808 square yards right parenthesis left parenthesis StartFraction 1 square mile Over 3,097,600 square yards EndFraction right parenthesis\"><mfenced><mrow><mn>11,863,808</mn><mo>&nbsp;</mo><mtext>square</mtext><mo>&nbsp;</mo><mtext>yards</mtext></mrow></mfenced><mfenced><mfrac><mrow><mn>1</mn><mo>&nbsp;</mo><mtext>square</mtext><mo>&nbsp;</mo><mtext>mile</mtext></mrow><mrow><mn>3,097,600</mn><mo>&nbsp;</mo><mtext>square</mtext><mo>&nbsp;</mo><mtext>yards</mtext></mrow></mfrac></mfenced></math>, or <math alttext=\"StartFraction 11,863,808 Over 3,097,600 EndFraction\"><mfrac><mn>11,863,808</mn><mn>3,097,600</mn></mfrac></math> square miles. Thus, the area, in square miles, of the park is <math alttext=\"3.83\"><mn>3.83</mn>\n</math>.</p>\n<p>Choice A is incorrect and may result from conceptual or calculation errors.</p>\n<p>Choice C is incorrect. This is the square root of the area of the park in square yards, not the area of the park in square miles.</p>\n<p>Choice D is incorrect and may result from converting <math alttext=\"11,863,808\"><mn>11,863,808</mn></math> yards to miles, rather than converting <math alttext=\"11,863,808\"><mn>11,863,808</mn></math> square yards to square miles.</p>","correct_answer":["B"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.830000+00:00","source_updated_at":"2023-08-02T20:25:59.830000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"1.96\"><mn>1.96</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"3.83\"><mn>3.83</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"3,444.39\"><mn>3,444.39</mn>\n</math>&nbsp;</p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"6,740.8\"><mn>6,740.8</mn>\n</math></p>","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}}