{"id":"cb_question_bank:5c98eeb6-9ef5-44ba-8ffb-09a63eec06cd","source_id":"cb_question_bank","source_item_id":"5c98eeb6-9ef5-44ba-8ffb-09a63eec06cd","external_id":null,"ibn":"026407-DC","question_id":"8a714fa1","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.B.","skill":"Percentages","difficulty":"M","score_band":5,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Which of the following represents the result of increasing the quantity x by 9%, where x is greater than 0 ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">Which of the following represents the result of increasing the quantity&nbsp;<span class=\"italic\">x</span> by 9%, where <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6ca09b244cb4a0414885894bc1ac4e0242305210b23d08ccb20204e38d574daf\" alt=\"x is greater than 0\"></span></span> ?</p>\n","rationale_html":"<p>Choice A is correct. Increasing the positive quantity <span class=\"italic\">x</span> by 9% is the result of adding 9% of <span class=\"italic\">x</span> to <span class=\"italic\">x</span>. 9% of <span class=\"italic\">x</span> can be represented algebraically as <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/4096e66bb2825e37a8ff987e21993bbcf20d2e39774c25f083d3cb63c62b21ea\" alt=\"the fraction, 9 over 100, end fraction, times x\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c4c148f96f70992602f829ec0580ce3cfc7e2d58dbf73a0cbcae1d07843f9a83\" alt=\"0 point 0 9 x\"></span>. Adding this expression to <span class=\"italic\">x</span> yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/587b947b56e1eb66d06afeb118093e97198999e064adf81bd547758eb456968f\" alt=\"x plus 0 point 0 9 x\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/dc6a59b0cc976684d422e4bcc73d23012ad11cd29d623d3bb1122b90d7f867c3\" alt=\"1 point 0 9 x\"></span>.</p><p>Choice B is incorrect. This represents 9% of <span class=\"italic\">x</span>. Choice C is incorrect. This represents increasing <span class=\"italic\">x</span> by 9, not by 9%. Choice D is incorrect. This represents increasing <span class=\"italic\">x</span> by 0.09, not by 9%.</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.620000+00:00","source_updated_at":"2023-08-02T20:25:59.620000+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/c732acf3e93b1d227c02f5e179eb122c7f70a0d9921b493a7eaefeecac609289\" alt=\"1 point 0 9 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/947d0003632347a2c4d682ae17a61330c66ccc888c491c0c37b14f155039a56c\" alt=\"0 point 0 9 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/3d2df855074d14f77fb607f4da23d0a18836e8ebdfd4bd3fcf6e2097d2517efb\" alt=\"x plus 9\"></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/97f8cb55e2d26ba17a9a8d1b2c1b2fe8e5b9485d3b686e42b085f437c4d19ec3\" alt=\"x plus 0 point 0 9\"></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}}