{"id":"cb_question_bank:3f589644-9edc-4ed3-9e3a-c40af604e26e","source_id":"cb_question_bank","source_item_id":"3f589644-9edc-4ed3-9e3a-c40af604e26e","external_id":null,"ibn":"14854-DC","question_id":"620fe971","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 graph of this equation in the xy -plane is a line. What is the best interpretation of the x -intercept in this context?","stimulus":"A team of workers has been moving cargo off of a ship. The equation below models the approximate number of tons of cargo, y , that remains to be moved x hours after the team started working. y equals, 120 minus 25 x","stimulus_html":"<div class=\"stimulus_reference \">\n        <div class=\"passage \">\n          <div class=\"prose style:1 \">\n            <p class=\"passage_para \">A team of workers has been moving cargo off of a ship. The equation below models the approximate number of tons of cargo, <span class=\"italic\">y</span>, that remains to be moved <span class=\"italic\">x</span> hours after the team started working.</p>\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/e4bffc588b427dc2f69d294c419e9f9b21db7a7fdc9c340d4468ef7d2ad9e0b5\" alt=\"y equals, 120 minus 25 x\"></span></span>\n            </p>\n          </div>\n        </div>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">The graph of this equation in the <span class=\"italic\"><span class=\"formatted_text font_style:italic \">xy</span></span>-plane is a line. What is the best interpretation of the <span class=\"italic\"><span class=\"formatted_text font_style:italic \">x</span></span>-intercept in this context?</p>\n","rationale_html":"<p>Choice A is correct. The <span class=\"italic\">x</span>-intercept of the line with equation <span class=\"italic\">y&nbsp;</span>= 120 – 25<span class=\"italic\">x</span> can be found by substituting 0 for<span class=\"italic\"> y</span> and finding the value of <span class=\"italic\">x</span>. When <span class=\"italic\">y</span> = 0, <span class=\"italic\">x</span> = 4.8, so the <span class=\"italic\">x</span>-intercept is at&nbsp;(4.8, 0). Since <span class=\"italic\">y</span>&nbsp;represents the number of tons of cargo remaining to be moved <span class=\"italic\">x</span> hours after the team started working, it follows that the <span class=\"italic\">x</span>-intercept refers to the team having no cargo remaining to be moved after 4.8 hours. In other words, the team will have moved all of the cargo after about 4.8 hours.</p><p>Choice B is incorrect and may result from incorrectly interpreting the value 4.8. Choices C and D are incorrect and may result from misunderstanding the <span class=\"italic\">x</span>-intercept. These statements are accurate but not directly relevant to the <span class=\"italic\">x</span>-intercept.</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.639000+00:00","source_updated_at":"2023-08-02T20:25:59.639000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">The team will have moved all the cargo in about 4.8 hours.</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">The team has been moving about 4.8 tons of cargo per hour.</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">The team has been moving about 25 tons of cargo per hour.</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">The team started with 120 tons of cargo to move.</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}}