{"id":"cb_question_bank:c202cb6a-1b3d-4065-82a1-e3137e38cffc","source_id":"cb_question_bank","source_item_id":"c202cb6a-1b3d-4065-82a1-e3137e38cffc","external_id":null,"ibn":"08691-DC","question_id":"113b938e","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"M","score_band":5,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The equation above represents the speed y , in feet per second, of Sheila’s bicycle x seconds after she applied the brakes at the end of a ride. If the equation is graphed in the xy -plane, which of the following is the best interpretation of the x -coordinate of the line’s x -intercept in the context of the problem?","stimulus":"y equals, 18, minus 5 x","stimulus_html":"<div class=\"stimulus_reference \">\n        <p class=\"standalone_statement style:1 \">\n          <span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1acd03a375e1de47ef593d91f156291fdd0bfd3e67f5a983d1a410c8a1248903\" alt=\"y equals, 18, minus 5 x\"></span></span>\n        </p>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">The equation above represents the speed <span class=\"italic\">y</span>, in feet per second, of Sheila’s bicycle <span class=\"italic\">x</span> seconds after she applied the brakes at the end of a ride. If the equation is graphed in the <span class=\"italic \">xy</span>-plane, which of the following is the best interpretation of the <span class=\"italic \">x</span>-coordinate of the line’s <span class=\"italic \">x</span>-intercept in the context of the problem?</p>\n","rationale_html":"<p>Choice C is correct. It’s given that for each point <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ced1a64e45813097b535382f249bf54ff204f9e5fa6c7c433d61d47dac6447b2\" alt=\"with coordinates x comma y \"></span> on the graph of the given equation, the <span class=\"italic\">x</span>-coordinate represents the number of seconds after Sheila applied the brakes, and the <span class=\"italic\">y</span>-coordinate represents the speed of Sheila’s bicycle at that moment in time. For the graph of the equation, the <span class=\"italic\">y</span>-coordinate of the <span class=\"italic\">x</span>-intercept is 0. Therefore, the <span class=\"italic\">x</span>-coordinate of the <span class=\"italic\">x</span>-intercept of the graph of the given equation represents the number of seconds it took from the time Sheila began applying the brakes until the bicycle came to a complete stop.</p><p>Choice A is incorrect. The speed of Sheila’s bicycle before she applied the brakes is represented by the <span class=\"italic\">y</span>-coordinate of the <span class=\"italic\">y</span>-intercept of the graph of the given equation, not the <span class=\"italic\">x</span>-coordinate of the <span class=\"italic\">x</span>-intercept. Choice B is incorrect. The number of feet per second the speed of Sheila’s bicycle decreased each second after Sheila applied the brakes is represented by the slope of the graph of the given equation, not the <span class=\"italic\">x</span>-coordinate of the <span class=\"italic\">x</span>-intercept. Choice D is incorrect and may result from misinterpreting <span class=\"italic\">x</span> as the distance, in feet, traveled after applying the brakes, rather than the time, in seconds, after applying the brakes.</p><p></p>\n","correct_answer":["C"],"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":"<p class=\"choice_paragraph \">The speed of Sheila’s bicycle, in feet per second, before Sheila applied the brakes</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">The number of feet per second the speed of Sheila’s bicycle decreased each second after Sheila applied the brakes</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">The number of seconds it took from the time Sheila began applying the brakes until the bicycle came to a complete stop</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">The number of feet Sheila’s bicycle traveled from the time she began applying the brakes until the bicycle came to a complete stop</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}}