{"id":"cb_question_bank:e2b2ea28-d09d-4ad0-b663-0291b5c1e386","source_id":"cb_question_bank","source_item_id":"e2b2ea28-d09d-4ad0-b663-0291b5c1e386","external_id":"461f9ba1-a36e-4795-9b6e-093390fd8977","ibn":null,"question_id":"f0773a55","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The line begins on the y axis above the x axis. The line slants sharply up from left to right. The graph represents the total charge, in dollars, by an electrician for x hours of work. The electrician charges a onetime fee plus an hourly rate. What is the best interpretation of the slope of the graph?","stimulus":"","stimulus_html":null,"stem_html":"

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The graph represents the total charge, in dollars, by an electrician for x\n hours of work. The electrician charges a onetime fee plus an hourly rate. What is the best interpretation of the slope of the graph?

","rationale_html":"

Choice A is correct. It’s given that the electrician charges a onetime fee plus an hourly rate. It's also given that the graph represents the total charge, in dollars, for x\n hours of work. This graph shows a linear relationship in the xy-plane. Thus, the total charge y\n, in dollars, for x\n hours of work can be represented as y=mx+b, where m\n is the slope and 0,b is the y-intercept of the graph of the equation in the xy-plane. Since the given graph represents the total charge, in dollars, by an electrician for x\n hours of work, it follows that its slope is m\n, or the electrician’s hourly rate.

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Choice B is incorrect. The electrician's onetime fee is represented by the y-coordinate of the y-intercept, not the slope, of the graph.

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Choice C is incorrect and may result from conceptual errors.

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Choice D is incorrect and may result from conceptual errors.

","correct_answer":["A"],"has_media":true,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.811000+00:00","source_updated_at":"2023-08-02T20:25:59.811000+00:00","options":[{"label":"A","content_html":"

The electrician’s hourly rate

","ord":0},{"label":"B","content_html":"

The electrician’s onetime fee

","ord":1},{"label":"C","content_html":"

The maximum amount that the electrician charges

","ord":2},{"label":"D","content_html":"

The total amount that the electrician charges

","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}}