{"id":"cb_question_bank:4bceed79-11f6-4bab-aa95-514584d5e9ef","source_id":"cb_question_bank","source_item_id":"4bceed79-11f6-4bab-aa95-514584d5e9ef","external_id":"0359b97d-4f74-4893-886b-a63458ac15d7","ibn":null,"question_id":"7cab9fe1","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.B.","skill":"Percentages","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Which expression represents the result of increasing a positive quantity w by 43 percent sign ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">Which expression represents the result of increasing a positive quantity <math alttext=\"w\"><mi>w</mi>\n</math> by <math alttext=\"43 percent sign\"><mrow><mn>43</mn></mrow><mo>%</mo></math>?</p>","rationale_html":"<p style=\"text-align: left;\">Choice A is correct. The result of increasing a positive quantity <math alttext=\"w\"><mi>w</mi>\n</math> by <math alttext=\"x percent sign\"><mi>x</mi><mo>%</mo></math> can be represented by the expression&nbsp;<math alttext=\"left parenthesis 1 plus StartFraction x Over 100 EndFraction right parenthesis w\"><mfenced><mrow><mn>1</mn><mo>+</mo><mfrac><mi>x</mi><mn>100</mn></mfrac></mrow></mfenced><mi>w</mi></math>.&nbsp;Therefore, the result of increasing a positive quantity <math alttext=\"w\"><mi>w</mi>\n</math> by&nbsp;<math alttext=\"43 percent sign\"><mn>43</mn><mo>%</mo></math> can be found by substituting <math alttext=\"43\"><mn>43</mn>\n</math> for <math alttext=\"x\"><mi>x</mi>\n</math> in the expression <math alttext=\"left parenthesis 1 plus StartFraction x Over 100 EndFraction right parenthesis w\"><mfenced><mrow><mn>1</mn><mo>+</mo><mfrac><mi>x</mi><mn>100</mn></mfrac></mrow></mfenced><mi>w</mi></math>, which gives <math alttext=\"left parenthesis 1 plus StartFraction 43 Over 100 EndFraction right parenthesis w\"><mfenced><mrow><mn>1</mn><mo>+</mo><mfrac><mn>43</mn><mn>100</mn></mfrac></mrow></mfenced><mi>w</mi></math>, or <math alttext=\"1.43 w\"><mn>1.43</mn><mi>w</mi></math>. Thus, the expression <math alttext=\"1.43 w\"><mn>1.43</mn><mi>w</mi></math> represents the result of increasing a positive quantity <math alttext=\"w\"><mi>w</mi>\n</math> by <math alttext=\"43 percent sign\"><mn>43</mn><mo>%</mo></math>.</p>\n<p style=\"text-align: left;\">Choice B is incorrect. This is the result of decreasing a positive quantity <math alttext=\"w\"><mi>w</mi>\n</math> by <math alttext=\"43 percent sign\"><mn>43</mn><mo>%</mo></math>.</p>\n<p style=\"text-align: left;\">Choice C is incorrect. This is the result of increasing a positive quantity <math alttext=\"w\"><mi>w</mi>\n</math> by <math alttext=\"4,200 percent sign\"><mn>4,200</mn><mo>%</mo></math>.</p>\n<p style=\"text-align: left;\">Choice D is incorrect. This is the result of decreasing a positive quantity <math alttext=\"w\"><mi>w</mi>\n</math> by <math alttext=\"57 percent sign\"><mn>57</mn><mo>%</mo></math>.</p>","correct_answer":["A"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.832000+00:00","source_updated_at":"2023-08-02T20:25:59.832000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"1.43 w\"><mrow><mn>1.43</mn></mrow><mi>w</mi></math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"0.57 w\"><mrow><mn>0.57</mn></mrow><mi>w</mi></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"43 w\"><mrow>\n\t<mn>43</mn>\n\t<mi>w</mi>\n</mrow>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"0.43 w\"><mrow><mn>0.43</mn></mrow><mi>w</mi></math></p>","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}}