{"id":"cb_question_bank:1721196a-ca3b-4b1e-9356-e2da87d5b8c8","source_id":"cb_question_bank","source_item_id":"1721196a-ca3b-4b1e-9356-e2da87d5b8c8","external_id":null,"ibn":"09274-DC","question_id":"45cfb9de","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.E.","skill":"Linear inequalities in one or two variables","difficulty":"H","score_band":6,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Adam’s school is a 20-minute walk or a 5-minute bus ride away from his house. The bus runs once every 30 minutes, and the number of minutes, w , that Adam waits for the bus varies between 0 and 30. Which of the following inequalities gives the values of w for which it would be faster for Adam to walk to school?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">Adam’s school is a 20-minute walk or a 5-minute bus ride away from his house. The bus runs once every 30&nbsp;minutes, and the number of minutes, <span class=\"italic\"><span class=\"formatted_text font_style:italic \">w</span></span>, that Adam waits for the bus varies between 0 and 30. Which of the following inequalities gives the values of <span class=\"italic\">w</span> for which it would be faster for Adam to walk to school?</p>\n","rationale_html":"<p>Choice D is correct. It is given that <span class=\"italic\">w</span> is the number of minutes that Adam waits for the bus. The total time it takes Adam to get to school on a day he takes the bus is the sum of the <span class=\"italic\"></span>minutes, <span class=\"italic\">w</span>, he waits for the bus and the 5 minutes the bus ride takes; thus, this time, in minutes, is <span class=\"italic\">w</span> + 5. It is also given that the total amount of time it takes Adam to get to school on a day that he walks is 20 minutes. Therefore, <span class=\"italic\">w</span> + 5 &gt; 20 gives the values of <span class=\"italic\">w</span> for which it would be faster for Adam to walk to school.</p><p>Choices A and B are incorrect because <span class=\"italic\">w</span> – 5 is not the total length of time for Adam to wait for and then take the bus to school. Choice C is incorrect because the inequality should be true when walking 20 minutes is faster than the time it takes Adam to wait for and ride the bus, not less.</p><p></p>\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.636000+00:00","source_updated_at":"2023-08-02T20:25:59.636000+00:00","options":[{"label":"A","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e46644aee33c143b917a17410898ddd7de0f83a7d84eeb644b10f78941a58309\" alt=\"w minus 5, is less than 20\"></span></span>\n","ord":0},{"label":"B","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/78cd951629cd6695fe0a9c15c871b0ab0fe97571c1011e498d8365b3768474c0\" alt=\"w minus 5, is greater than 20\"></span></span>\n","ord":1},{"label":"C","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/cf706f29cab031dc6bb99548da94bb1a4247a9efb6cc4c4910f907739357edf9\" alt=\"w plus 5, is less than 20\"></span></span>\n","ord":2},{"label":"D","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/30e8871e70e9f8d43223a8a83f1aba32ddeeb153c9db4d1103961509bf2520d9\" alt=\"w plus 5, is greater than 20\"></span></span>\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}}