{"id":"cb_question_bank:7f75152b-97c9-4919-8ed2-bd4670746c7c","source_id":"cb_question_bank","source_item_id":"7f75152b-97c9-4919-8ed2-bd4670746c7c","external_id":"f518f607-0819-47bd-b33b-db922ee03cb2","ibn":null,"question_id":"709e04de","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":"The value of z is 1.13 times 100 . The value of z is what percent greater than 100 ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">The value of <math alttext=\"z\"><mi>z</mi>\n</math> is <math alttext=\"1.13\"><mn>1.13</mn>\n</math> times <math alttext=\"100\"><mn>100</mn>\n</math>. The value of <math alttext=\"z\"><mi>z</mi>\n</math> is what percent greater than <math alttext=\"100\"><mn>100</mn>\n</math>?</p>","rationale_html":"<p style=\"text-align: left;\">Choice B is correct. It’s given that the value of <math alttext=\"z\"><mi>z</mi>\n</math> is <math alttext=\"1.13\"><mn>1.13</mn></math> times <math alttext=\"100\"><mn>100</mn>\n</math>. This can be written as <math alttext=\"z equals left parenthesis 1.13 right parenthesis left parenthesis 100 right parenthesis\"><mi>z</mi><mo>=</mo><mfenced><mn>1.13</mn></mfenced><mfenced><mn>100</mn></mfenced></math>, which is equivalent to <math alttext=\"z equals left parenthesis 1 plus 0.13 right parenthesis left parenthesis 100 right parenthesis\"><mi>z</mi><mo>=</mo><mfenced><mrow><mn>1</mn><mo>+</mo><mn>0.13</mn></mrow></mfenced><mo>(</mo><mn>100</mn><mo>)</mo></math>, or <math alttext=\"z equals left parenthesis 1 plus StartFraction 13 Over 100 EndFraction right parenthesis left parenthesis 100 right parenthesis\"><mi>z</mi><mo>=</mo><mfenced><mrow><mn>1</mn><mo>+</mo><mfrac><mn>13</mn><mn>100</mn></mfrac></mrow></mfenced><mfenced><mn>100</mn></mfenced></math>. It follows that the value of <math alttext=\"z\"><mi>z</mi>\n</math> is <math alttext=\"100 percent sign\"><mn>100</mn><mo>%</mo></math> of <math alttext=\"100\"><mn>100</mn>\n</math> plus <math alttext=\"13 percent sign\"><mn>13</mn><mo>%</mo></math> of <math alttext=\"100\"><mn>100</mn>\n</math>. Therefore, the value of <math alttext=\"z\"><mi>z</mi>\n</math> is <math alttext=\"13 percent sign\"><mn>13</mn><mo>%</mo></math> greater than <math alttext=\"100\"><mn>100</mn>\n</math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect. This gives a value of <math alttext=\"z\"><mi>z</mi>\n</math> that is <math alttext=\"1.113\"><mn>1.113</mn>\n</math>, not <math alttext=\"1.13\"><mn>1.13</mn>\n</math>, times <math alttext=\"100\"><mn>100</mn>\n</math>.</p>\n<p style=\"text-align: left;\">Choice C is incorrect. This gives a value of <math alttext=\"z\"><mi>z</mi>\n</math> that is <math alttext=\"2.30\"><mn>2.30</mn>\n</math>, not <math alttext=\"1.13\"><mn>1.13</mn>\n</math>, times <math alttext=\"100\"><mn>100</mn>\n</math>.</p>\n<p style=\"text-align: left;\">Choice D is incorrect. This gives a value of <math alttext=\"z\"><mi>z</mi>\n</math> that is <math alttext=\"3.13\"><mn>3.13</mn>\n</math>, not <math alttext=\"1.13\"><mn>1.13</mn>\n</math>, times <math alttext=\"100\"><mn>100</mn>\n</math>.</p>","correct_answer":["B"],"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=\"11.3\"><mn>11.3</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p style=\"text-align: left;\"><math alttext=\"13\"><mn>13</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"130\"><mn>130</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"213\"><mn>213</mn>\n</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}}