{"id":"cb_question_bank:d4e9ed1c-a20f-4a09-8937-b6239d5df149","source_id":"cb_question_bank","source_item_id":"d4e9ed1c-a20f-4a09-8937-b6239d5df149","external_id":null,"ibn":"025710-DC","question_id":"b9839f9e","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.C.","skill":"Linear equations in two variables","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"In the equation above, F represents the total amount of money, in dollars, a food truck charges for x drinks and y salads. The price, in dollars, of each drink is the same, and the price, in dollars, of each salad is the same. Which of the following is the best interpretation for the number 7.00 in this context?","stimulus":"F equals, 2 point 5 0 x, plus 7 point 0 0 y","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/bcf28a3d51468178221f9987347d54e1545e2f0e70b6707ae73f792b338bb04f\" alt=\"F equals, 2 point 5 0 x, plus 7 point 0 0 y\"></span></span>\n        </p>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">In the equation above, <span class=\"italic\">F</span> represents the total <span class=\"formatted_line_break delivery_mode:Both \"></span>amount of money, in dollars, a food truck charges for <span class=\"formatted_line_break delivery_mode:Both \"></span><span class=\"italic\">x </span>drinks and <span class=\"italic\">y</span> salads. The price, in dollars, of each drink is the same, and the price, in dollars, of each salad is the same. Which of the following is the best interpretation for the number 7.00 in this context?</p>\n","rationale_html":"<p>Choice B is correct. It’s given that <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/f3cb5d58807dcc3f6a7a07320ef1a19c00b08032bd0ef09bce8ab004aa7c5b31\" alt=\"2 point 5 0 x, plus 7 point 0 0 y\"></span> is equal to the total amount of money, in dollars, a food truck charges for <span class=\"italic\">x</span> drinks and <span class=\"italic\">y</span> salads. Since each salad has the same price, it follows that the total charge for <span class=\"italic\">y</span> salads is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9b46bb1027c80213c42fcb8d39eef1dd7f75ce308a375579e0e04a2e6d8cec29\" alt=\"7 point 0 0 y\"></span> dollars. When <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/cc0d4aec836ba9b82085d477b7ea166b87d9abd1486c2dd63be7e952b395ed15\" alt=\"y equals 1\"></span>, the value of the expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9b46bb1027c80213c42fcb8d39eef1dd7f75ce308a375579e0e04a2e6d8cec29\" alt=\"7 point 0 0 y\"></span> is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9029688276c90f96ba53642ea6e413f42043239ec7fc7dbb10e790a730e28551\" alt=\"7 point 0 0 times 1\"></span>, or 7.00. Therefore, the price for one salad is 7.00 dollars.</p><p>Choice A is incorrect. Since each drink has the same price, it follows that the total charge for <span class=\"italic\">x</span> drinks is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/fd42a0ab3b8539d95c9320b69ef955ff3b44e7d9bc38d946f1f2a74bc5f8aaee\" alt=\"2 point 5 0 x\"></span> dollars. Therefore, the price, in dollars, for one drink is 2.50, not 7.00. Choices C and D are incorrect. In the given equation, <span class=\"italic\">F</span> represents the total charge, in dollars, when <span class=\"italic\">x</span> drinks and <span class=\"italic\">y</span> salads are bought at the food truck. No information is provided about the number of drinks or the number of salads that are bought during the day. Therefore, 7.00 doesn’t represent either of these quantities.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.619000+00:00","source_updated_at":"2023-08-02T20:25:59.619000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">The price, in dollars, of one drink</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">The price, in dollars, of one salad</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">The number of drinks bought during the day</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">The number of salads bought during the day</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}}