{"id":"cb_question_bank:b62ee979-5612-4564-a90b-e17977f2b6bf","source_id":"cb_question_bank","source_item_id":"b62ee979-5612-4564-a90b-e17977f2b6bf","external_id":null,"ibn":"10619-DC","question_id":"1180401d","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":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The total area of a coastal city is 92.1 square miles, of which 11.3 square miles is water. If the city had a population of 621,000 people in the year 2010, which of the following is closest to the population density, in people per square mile of land area, of the city at that time?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">The total area of a coastal city is 92.1&nbsp;square miles, of which 11.3&nbsp;square miles is water. If the city had a population of 621,000&nbsp;people in the year 2010, which of the following is closest to the population density, in people per square mile of land area, of the city at that&nbsp;time?</p>\n","rationale_html":"<p>Choice B is correct. The land area of the coastal city can be found by subtracting the area of the water from the total area of the coastal city; that is, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6ebb224f763d573a0f1ecf0b67e79c3ad9d64e22fde08bda4674acaea60083db\" alt=\"92 point 1, minus 11 point 3, equals 80 point 8\"></span> square miles. The population density is the population divided by the land area, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/4c5bcfb38a94c4aa64cb59ce5c333685609321d281cf28a16a858243259ed412\" alt=\"the fraction 621,000 over 80 point 8, end fraction, equals 7,686\"></span>, which is closest to 7,690 people per square mile.</p><p>Choice A is incorrect and may be the result of dividing the population by the total area, instead of the land area. Choice C is incorrect and may be the result of dividing the population by the area of water. Choice D is incorrect and may be the result of making a computational error with the decimal place.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.638000+00:00","source_updated_at":"2023-08-02T20:25:59.638000+00:00","options":[{"label":"A","content_html":"<span class=\"phantom_text \"><p>6,740</p></span>\n","ord":0},{"label":"B","content_html":"<span class=\"phantom_text \"><p>7,690</p></span>\n","ord":1},{"label":"C","content_html":"<p>55,000</p>\n","ord":2},{"label":"D","content_html":"<p>76,000</p>\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}}