{"id":"cb_question_bank:ab6f5af4-d42e-462f-9f1c-7b32a52808ee","source_id":"cb_question_bank","source_item_id":"ab6f5af4-d42e-462f-9f1c-7b32a52808ee","external_id":"ad28edfc-9193-4278-8a8f-8f9b3a34406c","ibn":null,"question_id":"13909d78","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The function f is defined by the equation f left parenthesis x right parenthesis equals 100 x plus 2 . What is the value of f left parenthesis x right parenthesis when x equals 9 ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">The function <math alttext=\"f\"><mi>f</mi>\n</math> is defined by the equation <math alttext=\"f left parenthesis x right parenthesis equals 100 x plus 2\"><mi>f</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mn>100</mn><mi>x</mi><mo>+</mo><mrow><mn>2</mn></mrow></math>. What is the value of <math alttext=\"f left parenthesis x right parenthesis\"><mi>f</mi><mfenced><mi>x</mi></mfenced></math> when <math alttext=\"x equals 9\"><mrow>\n\t<mi>x</mi>\n\t<mo>=</mo>\n\t<mn>9</mn>\n</mrow>\n</math>?</p>","rationale_html":"<p style=\"text-align: left;\">Choice D is correct. Substituting <math alttext=\"9\"><mn>9</mn>\n</math> for <math alttext=\"x\"><mi>x</mi>\n</math> in the given equation yields <math alttext=\"f left parenthesis 9 right parenthesis equals 100 left parenthesis 9 right parenthesis plus 2\"><mi>f</mi><mfenced><mn>9</mn></mfenced><mo>=</mo><mn>100</mn><mfenced><mn>9</mn></mfenced><mo>+</mo><mn>2</mn></math>, or <math alttext=\"f left parenthesis 9 right parenthesis equals 902\"><mi>f</mi><mfenced><mn>9</mn></mfenced><mo>=</mo><mn>902</mn></math>. Therefore, the value of <math alttext=\"f left parenthesis x right parenthesis\"><mi>f</mi><mfenced><mi>x</mi></mfenced></math> when <math alttext=\"x equals 9\"><mi>x</mi><mo>=</mo><mn>9</mn></math> is <math alttext=\"902\"><mn>902</mn>\n</math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect. This is the value of <math alttext=\"f left parenthesis x right parenthesis\"><mi>f</mi><mfenced><mi>x</mi></mfenced></math> when&nbsp;<math alttext=\"x equals 1.09\"><mi>x</mi><mo>=</mo><mn>1.09</mn></math>.</p>\n<p style=\"text-align: left;\">Choice B is incorrect. This is the value of <math alttext=\"f left parenthesis x right parenthesis\"><mi>f</mi><mfenced><mi>x</mi></mfenced></math> when&nbsp;<math alttext=\"x equals 1.16\"><mi>x</mi><mo>=</mo><mn>1.16</mn></math>.</p>\n<p style=\"text-align: left;\">Choice C is incorrect. This is the value of <math alttext=\"f left parenthesis x right parenthesis\"><mi>f</mi><mfenced><mi>x</mi></mfenced></math> when&nbsp;<math alttext=\"x equals 8.98\"><mi>x</mi><mo>=</mo><mn>8.98</mn></math>.</p>","correct_answer":["D"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.813000+00:00","source_updated_at":"2023-08-02T20:25:59.813000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"111\"><mn>111</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"118\"><mn>118</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"900\"><mn>900</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"902\"><mn>902</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}}