{"id":"cb_question_bank:2f9afc7f-72a6-4c6b-acba-9a0eefedf3eb","source_id":"cb_question_bank","source_item_id":"2f9afc7f-72a6-4c6b-acba-9a0eefedf3eb","external_id":null,"ibn":"022207-DC","question_id":"64c85440","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.E.","skill":"Linear inequalities in one or two variables","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"In North America, the standard width of a parking space is at least 7.5 feet and no more than 9.0 feet. A restaurant owner recently resurfaced the restaurant’s parking lot and wants to determine the number of parking spaces, n , in the parking lot that could be placed perpendicular to a curb that is 135 feet long, based on the standard width of a parking space. Which of the following describes all the possible values of n ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">In North America, the standard width of a parking space is at least 7.5 feet and no more than 9.0 feet. A restaurant owner recently resurfaced the restaurant’s parking lot and wants to determine the number of parking spaces, <span class=\"italic\">n</span>, in the parking lot that could be placed perpendicular to a curb that is 135 feet long, based on the standard width of a parking space. Which of the following describes all the possible values of <span class=\"italic\">n</span> ?</p>\n","rationale_html":"<p>Choice D is correct. Placing the parking spaces with the minimum width of 7.5 feet gives the maximum possible number of parking spaces. Thus, the maximum number that can be placed perpendicular to a 135-foot-long curb is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/dee6f3121528541c47680a5fa1a2b180b2a12cfa3d5ebc7753cbe8a353603452\" alt=\"135 over 7 point 5 equals 18\"></span>. Placing the parking spaces with the maximum width of 9 feet gives the minimum number of parking spaces. Thus, the minimum number that can be placed perpendicular to a 135-foot-long curb is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/aad561b34879c681aff5bb63c74276f36e5313b6dc6c4351a8601aa730648ae1\" alt=\"135 over 9 equals 15\"></span>. Therefore, if <span class=\"italic\">n</span> is the number of parking spaces in the lot, the range of possible values for <span class=\"italic\">n</span> is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/29fd720d4b53631a7a6e2ff5e4903b91595400c7a4c57f25d611ae308148300d\" alt=\"15 is less than or equal to n, which is less than or equal to 18\"></span>.</p><p>Choices A and C are incorrect. These choices equate the length of the curb with the maximum possible number of parking spaces. Choice B is incorrect. This is the range of possible values for the width of a parking space instead of the range of possible values for the number of parking spaces.</p><p></p>\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.617000+00:00","source_updated_at":"2023-08-02T20:25:59.617000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/31dbe01f84bbccd0b931d6d9ee16d4082da3b14244ba241471257d893351e4b3\" alt=\"18 is less than or equal to n, which is less than or equal to 135\"></span></span>\n          </p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1b02c0cf2c1de2c80d404daafc0a9693a82883240d26f966a3bb1611fda26115\" alt=\"7 point 5 is less than or equal to n, which is less than or equal to 9\"></span></span>\n          </p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/4b97b2df82fc83817a423b394b0a30b40a69d98fe01f2bddd335d61037e11149\" alt=\"15 is less than or equal to n, which is less than or equal to 135\"></span></span>\n          </p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e4a112b3b592cb5c18f2f6a18a4cdeccca91008f6c507af14c9013c039011d6d\" alt=\"15 is less than or equal to n, which is less than or equal to 18\"></span></span>\n          </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}}