{"id":"cb_question_bank:fd7e346d-70eb-489b-8076-7f49d7a52454","source_id":"cb_question_bank","source_item_id":"fd7e346d-70eb-489b-8076-7f49d7a52454","external_id":"d6f43e04-786e-41b9-a88e-42db5ecb8f8b","ibn":null,"question_id":"7d6928bd","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.E.","skill":"Linear inequalities in one or two variables","difficulty":"E","score_band":3,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A cleaning service that cleans both offices and homes can clean at most 14 places per day. Which inequality represents this situation, where f is the number of offices and h is the number of homes?","stimulus":"","stimulus_html":null,"stem_html":"<p>A cleaning service that cleans both offices and homes can clean at most <math alttext=\"14\"><mn>14</mn>\n</math> places per day. Which inequality represents this situation, where <math alttext=\"f\"><mi>f</mi>\n</math> is the number of offices and <math alttext=\"h\"><mi>h</mi>\n</math> is the number of homes?</p>","rationale_html":"<p>Choice A is correct. It's given that the cleaning service cleans both offices and homes, where <math alttext=\"f\"><mi>f</mi>\n</math> is the number of offices and <math alttext=\"h\"><mi>h</mi>\n</math> is the number of homes the cleaning service can clean per day. Therefore, the expression <math alttext=\"f plus h\"><mrow>\n\t<mi>f</mi>\n\t<mo>+</mo>\n\t<mi>h</mi>\n</mrow>\n</math> represents the number of places the cleaning service can clean per day. It's also given that the cleaning service can clean at most <math alttext=\"14\"><mn>14</mn>\n</math> places per day. Since <math alttext=\"f plus h\"><mrow>\n\t<mi>f</mi>\n\t<mo>+</mo>\n\t<mi>h</mi>\n</mrow>\n</math> represents the number of places the cleaning service can clean per day and the service can clean at most <math alttext=\"14\"><mn>14</mn>\n</math> places per day, it follows that the inequality <math alttext=\"f plus h less than or equals 14\"><mi>f</mi><mo>+</mo><mi>h</mi><mo>≤</mo><mn>14</mn></math>&nbsp;represents this situation.</p>\n<p>Choice B is incorrect. This inequality represents a cleaning service that cleans at least <math alttext=\"14\"><mn>14</mn>\n</math> places per day.</p>\n<p>Choice C is incorrect. This inequality represents a cleaning service that cleans at most <math alttext=\"14\"><mn>14</mn>\n</math> more offices than homes per day.</p>\n<p>Choice D is incorrect. This inequality represents a cleaning service that cleans at least <math alttext=\"14\"><mn>14</mn>\n</math> more offices than homes per day.</p>","correct_answer":["A"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.820000+00:00","source_updated_at":"2023-08-02T20:25:59.820000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"f plus h less than or equals 14\"><mi>f</mi><mo>+</mo><mi>h</mi><mo>≤</mo><mn>14</mn></math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"f plus h greater than or equals 14\"><mi>f</mi><mo>+</mo><mi>h</mi><mo>≥</mo><mn>14</mn></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"f minus h less than or equals 14\"><mi>f</mi><mo>-</mo><mi>h</mi><mo>≤</mo><mn>14</mn></math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"f minus h greater than or equals 14\"><mi>f</mi><mo>-</mo><mi>h</mi><mo>≥</mo><mn>14</mn></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}}