{"id":"cb_question_bank:d4f5b096-c229-4233-8aa5-b0f95da5681c","source_id":"cb_question_bank","source_item_id":"d4f5b096-c229-4233-8aa5-b0f95da5681c","external_id":null,"ibn":"016505-DC","question_id":"98f735f2","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.B.","skill":"Nonlinear equations in one variable and systems of equations in two variables","difficulty":"E","score_band":3,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The total revenue from sales of a product can be calculated using the formula T equals, P Q , where T is the total revenue, P is the price of the product, and Q is the quantity of the product sold. Which of the following equations gives the quantity of product sold in terms of P and T ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">The total revenue from sales of a product can be calculated using the formula <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b4e47d4ea78511d5182066efc860c29da518946b8364270ea1b5fc5a8df13362\" alt=\"T equals, P Q\"></span></span>, where <span class=\"italic\">T</span> is the total revenue, <span class=\"italic\">P</span> is the price of the product, and <span class=\"italic\">Q</span> is the quantity of the product sold. Which of the following equations gives the quantity of product sold in terms of <span class=\"italic\">P</span> and <span class=\"italic\">T</span> ?</p>\n","rationale_html":"<p>Choice B is correct. Solving the given equation for <span class=\"italic\">Q</span> gives the quantity of the product sold in terms of <span class=\"italic\">P</span> and <span class=\"italic\">T</span>. Dividing both sides of the given equation by <span class=\"italic\">P</span> yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/2e2bdb4b0aa71c049816f3707b07476fb3a004fc8ef6046f02766ff031439df4\" alt=\"T over P, equals Q\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/776787bd106cfacb1fd866e10200223d9c4052a9631e14f200ec93a54e381345\" alt=\"Q equals, T over P\"></span>. Therefore, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/776787bd106cfacb1fd866e10200223d9c4052a9631e14f200ec93a54e381345\" alt=\"Q equals, T over P \"></span> gives the quantity of product sold in terms of <span class=\"italic\">P</span> and <span class=\"italic\">T</span>.</p><p>Choice A is incorrect and may result from an error when dividing both sides of the given equation by <span class=\"italic\">P.</span> Choice C is incorrect and may result from multiplying, rather than dividing, both sides of the given equation by <span class=\"italic\">P</span>. Choice D is incorrect and may result from subtracting <span class=\"italic\">P</span> from both sides of the equation rather than dividing both sides by <span class=\"italic\">P</span>.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.615000+00:00","source_updated_at":"2023-08-02T20:25:59.615000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/98f5783fd711cca8ceae999d65314a877e29fc41096355cbfb1879b26cc1d0ce\" alt=\"Q equals, P over T\"></span></span>\n          </p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/776787bd106cfacb1fd866e10200223d9c4052a9631e14f200ec93a54e381345\" alt=\"Q equals, T over P\"></span></span>\n          </p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ff1bb04da39e3ba99a96a67275d6503551aab6be54bcc3a6599d372253a5756e\" alt=\"Q equals, P T\"></span></span>\n          </p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/fe22c6fccd1702cbcfc0902d77de2421bd03603eef1bf71ea34a9e2ec5708b9f\" alt=\"Q equals, T minus P\"></span></span>\n          </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}}