{"id":"cb_question_bank:3e629d15-b50d-4460-87db-92e467d7a2ea","source_id":"cb_question_bank","source_item_id":"3e629d15-b50d-4460-87db-92e467d7a2ea","external_id":null,"ibn":"020326-DC","question_id":"3f5375d9","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":"According to the graph, what is the cost for each additional mile traveled, in dollars, of a cab ride?","stimulus":"The line graphed in the xy -plane below models the total cost, in dollars, for a cab ride, y , in a certain city during nonpeak hours based on the number of miles traveled, x . The figure presents the graph of a line in the x y plane titled “Total Cost for a Cab Ride.” The x axis is labeled “Distance traveled, in miles,” and the integers 0, 5, and 10 are indicated. There are vertical gridlines at each integer from 1 through 10. The y axis is labeled “Cost, in dollars,” and the integers 0, 5, 10, and 15 are indicated. There are horizontal gridlines at each integer from 1 through 15. The line begins on the y axis at the point with coordinates 0 comma 3, and slants upward and to the right. It passes through the point with coordinates 5 comma 13.","stimulus_html":"<div class=\"stimulus_reference \">\n        <div class=\"passage \">\n          <div class=\"prose style:1 \">\n            <p class=\"passage_para \">The line graphed in the <span class=\"italic\"><span class=\" italic \">xy</span></span>-plane below models the total cost, in dollars, for a cab ride, <span class=\"italic\">y</span>, in a certain city during nonpeak hours based on the number of miles traveled, <span class=\"italic\">x</span>.</p>\n            <div class=\"standalone_image \">\n              <img src=\"/api/assets/b53067c96337b0cbfe042ac90a6b3024f9168f252060ff1be089ce356512d556\" alt=\"The figure presents the graph of a line in the x y plane titled “Total Cost for a Cab Ride.” The x axis is labeled “Distance traveled, in miles,” and the integers 0, 5, and 10 are indicated. There are vertical gridlines at each integer from 1 through 10. The y axis is labeled “Cost, in dollars,” and the integers 0, 5, 10, and 15 are indicated. There are horizontal gridlines at each integer from 1 through 15. The line begins on the y axis at the point with coordinates 0 comma 3, and slants upward and to the right. It passes through the point with coordinates 5 comma 13.\" width=\"171\" height=\"196\"></div>\n          </div>\n        </div>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">According to the graph, what is the cost for each additional mile traveled, in dollars, of a cab ride?</p>\n","rationale_html":"<p>Choice A is correct. The cost of each additional mile traveled is represented by the slope of the given line. The slope of the line can be calculated by identifying two points on the line and then calculating the ratio of the change in <span class=\"italic\">y</span> to the change in <span class=\"italic\">x</span> between the two points. Using the points <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/401013dcc8a9963a15648d9e44fc062687dcaec6e45345b4d5e765e2a239cb9a\" alt=\"with coordinates 1 comma 5\"></span> and <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9f08840dcab4713bd2649337477ee7c319e65e3c80f7c39d7bf56f1305c13134\" alt=\"2 comma 7\"></span>, the slope is equal to <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/56500b3df6100505391b2b1ebe8ee3fdde7e5830c5a3e4d6ed11bfc718ae9c1e\" alt=\"the fraction with numerator 7 minus 5, and denominator 2 minus 1, end fraction\"></span>, or 2. Therefore, the cost for each additional mile traveled of the cab ride is $2.00.</p><p>Choice B is incorrect and may result from calculating the slope of the line that passes through the points <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/478817ac429b6bbba4c6d96abd995290c669d52617b45779cc875692e4232ae1\" alt=\"with coordinates 5 comma 13\"></span> and <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5d9546145044d67f4c5d0648e8663a351f932cd21526a7309901dbb9e25d27fb\" alt=\"0 comma 0\"></span>. However, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5d9546145044d67f4c5d0648e8663a351f932cd21526a7309901dbb9e25d27fb\" alt=\"the point with coordinates 0 comma 0\"></span> does not lie on the line shown. Choice C is incorrect. This is the <span class=\"italic\">y</span>-coordinate of the <span class=\"italic\">y</span>-intercept of the graph and represents the flat fee for a cab ride before the charge for any miles traveled is added. Choice D is incorrect. This value represents the total cost of a 1-mile cab ride.</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.616000+00:00","source_updated_at":"2023-08-02T20:25:59.616000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">$2.00</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">$2.60</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">$3.00</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">$5.00</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}}