{"id":"cb_question_bank:4e291320-9562-4ddd-9ccb-36c63f57f8b3","source_id":"cb_question_bank","source_item_id":"4e291320-9562-4ddd-9ccb-36c63f57f8b3","external_id":"d9aed3a1-8247-4847-89fd-1c615ddd8b29","ibn":null,"question_id":"68f2cbaf","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":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Ty set a goal to walk at least 24 kilometers every day to prepare for a multiday hike. On a certain day, Ty plans to walk at an average speed of 4 kilometers per hour. What is the minimum number of hours Ty must walk on that day to fulfill the daily goal?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">Ty set a goal to walk at least <math alttext=\"24\"><mn>24</mn>\n</math> kilometers every day to prepare for a multiday hike. On a certain day, Ty plans to walk at an average speed of <math alttext=\"4\"><mn>4</mn>\n</math> kilometers per hour. What is the minimum number of hours Ty must walk on that day to fulfill the daily goal?</p>","rationale_html":"<p style=\"text-align: left;\">Choice B is correct. It's given that Ty plans to walk at an average speed of <math alttext=\"4\"><mn>4</mn>\n</math> kilometers per hour. The number of kilometers Ty will walk is determined by the expression <math alttext=\"4 s\"><mrow>\n\t<mn>4</mn>\n\t<mi>s</mi>\n</mrow>\n</math>, where <math alttext=\"s\"><mi>s</mi>\n</math> is the number of hours Ty walks. The given goal of at least <math alttext=\"24\"><mn>24</mn>\n</math> kilometers means that the inequality <math alttext=\"4 s greater than or equals 24\"><mn>4</mn><mi>s</mi><mo>≥</mo><mn>24</mn></math> represents the situation. Dividing both sides of this inequality by <math alttext=\"4\"><mn>4</mn>\n</math> gives&nbsp;<math alttext=\"s greater than or equals 6\"><mi>s</mi><mo>≥</mo><mn>6</mn></math> , which corresponds to a minimum of <math alttext=\"6\"><mn>6</mn>\n</math> hours Ty must walk.&nbsp;</p>\n<p>Choice A is incorrect and may result from conceptual or calculation errors.</p>\n<p>Choice C is incorrect and may result from conceptual or calculation errors.</p>\n<p>Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["B"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.819000+00:00","source_updated_at":"2023-08-02T20:25:59.819000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"4\"><mn>4</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"6\"><mn>6</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"20\"><mn>20</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"24\"><mn>24</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}}