{"id":"cb_question_bank:0340a9fb-f48e-49b0-b08b-7c85cb67e5f3","source_id":"cb_question_bank","source_item_id":"0340a9fb-f48e-49b0-b08b-7c85cb67e5f3","external_id":null,"ibn":"070906-DC","question_id":"954943a4","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.B.","skill":"Percentages","difficulty":"H","score_band":7,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that a serving size of the cereal is three fourths cup and provides 210 calories, 50 of which are calories from fat. In addition, each serving of the cereal provides 180 milligrams of potassium, which is 5% of the daily allowance for adults. If p percent of an adult’s daily allowance of potassium is provided by x servings of Crunchy Grain cereal per day, which of the following expresses p in terms of x ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that a serving size of the cereal is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b66901330890b6e3cf57fc87badb8d20fda5cee27ab863f2ec195b83e585ed89\" alt=\"three fourths\"></span> cup and provides 210 calories, 50 of which are calories from fat. In addition, each serving of the cereal provides 180 milligrams of potassium, which is 5% of the daily allowance for adults. If <span class=\"italic\">p</span> percent of an adult’s daily allowance of potassium is provided by <span class=\"italic\">x</span> servings of Crunchy Grain cereal per day, which of the following expresses <span class=\"italic\">p</span> in terms of <span class=\"italic\">x</span> ?</p>\n","rationale_html":"<p>Choice B is correct. It’s given that each serving of Crunchy Grain cereal provides 5% of an adult’s daily allowance of potassium, so <span class=\"italic\">x</span> servings would provide <span class=\"italic\">x</span> times 5%. The percentage of an adult’s daily allowance of potassium, <span class=\"italic\">p</span>, is 5 times the number of servings, <span class=\"italic\">x</span>. Therefore, the percentage of an adult’s daily allowance of potassium can be expressed as <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0130c7828e2219447738f1823f366d50a323539e2123ba5ef1acc896756ca29a\" alt=\"p equals 5 x\"></span>.</p><p>Choices A, C, and D are incorrect and may result from incorrectly converting 5% to its decimal equivalent, which isn’t necessary since <span class=\"italic\">p</span> is expressed as a percentage. Additionally, choices C and D are incorrect because the context should be represented by a linear relationship, not by an exponential relationship.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.632000+00:00","source_updated_at":"2023-08-02T20:25:59.632000+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/3810ec6c3d7f6726c23a1f12337e6606aa54df769f301aa795b1b6d79202f0ef\" alt=\"p equals, 0 point 5 x\"></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/62ae0be0bf22f6eeefa483721804db72dbf3a739748d1b043b73ab37d36eadae\" alt=\"p equals, 5 x\"></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/d2160b23b9e3f83a3c2bb69b7b8c899064ce8362430927277b5eadbfc1c6f3c8\" alt=\"p equals, open parenthesis, 0 point 0 5, close parenthesis, to the x power\"></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/c4ec2f72a4127b9e342cbe835fca629585fafe2395c25c68cfd80d0d5f54903a\" alt=\"p equals, open parenthesis, 1 point 0 5, close parenthesis, to the x power\"></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}}