{"id":"cb_question_bank:0f604298-81ef-425e-9281-e8a04d46210b","source_id":"cb_question_bank","source_item_id":"0f604298-81ef-425e-9281-e8a04d46210b","external_id":null,"ibn":"015564-DC","question_id":"84664a7c","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The front of a roller-coaster car is at the bottom of a hill and is 15 feet above the ground. If the front of the roller-coaster car rises at a constant rate of 8 feet per second, which of the following equations gives the height h , in feet, of the front of the roller-coaster car s seconds after it starts up the hill?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">The front of a roller-coaster car is at the bottom of a hill and is 15 feet above the ground. If the front of the roller-coaster car rises at a constant rate of 8 feet per second, which of the following equations gives the height <span class=\"italic\">h</span>, in feet, of the front of the roller-coaster car <span class=\"italic\">s</span> seconds after it starts up the hill?</p>\n","rationale_html":"<p>Choice A is correct. It’s given that the front of the roller-coaster car starts rising when it’s 15 feet above the ground. This initial height of 15 feet can be represented by a constant term, 15, in an equation. Each second, the front of the roller-coaster car rises 8 feet, which can be represented by 8<span class=\"italic\">s</span>. Thus, the equation <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/3d6d3fc4b6d24595536139f5a68d8bdba5cf0ac293f3365532a145ce2b21d56f\" alt=\"h equals, 8 s plus 15\"></span> gives the height, in feet, of the front of the roller-coaster car <span class=\"italic\">s</span> seconds after it starts up the hill.</p><p>Choices B and C are incorrect and may result from conceptual errors in creating a linear equation. Choice D is incorrect and may result from switching the rate at which the roller-coaster car rises with its initial height.</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.615000+00:00","source_updated_at":"2023-08-02T20:25:59.615000+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/3d6d3fc4b6d24595536139f5a68d8bdba5cf0ac293f3365532a145ce2b21d56f\" alt=\"h equals, 8 s, plus 15\"></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/9d350f3e61dd01c438a5cb9490a29ac5f6793f2bd46c3232e95f88f821aa8cdf\" alt=\"h equals, 15 s, plus the fraction 335 over 8\"></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/f784044f19610868a401f1de76051076fd93a8f319459f079aa38a8ff4ef94a1\" alt=\"h equals, 8 s, plus the fraction 335 over 15\"></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/fec47dbaef5ea4d7fb397f75e4e60159fae3e6fc3f36217357f6a423a255148a\" alt=\"h equals, 15 s, plus 8\"></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}}