{"id":"cb_question_bank:cd993c28-0bef-4c62-8ddd-069ae837bfca","source_id":"cb_question_bank","source_item_id":"cd993c28-0bef-4c62-8ddd-069ae837bfca","external_id":"907da20e-eb78-4bed-85f6-ce91ac870f45","ibn":null,"question_id":"81390d6c","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The function h is defined by h left parenthesis x right parenthesis equals x plus 200 . What is the value of h left parenthesis 50 right parenthesis ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">The function <math alttext=\"h\"><mi>h</mi>\n</math> is defined by <math alttext=\"h left parenthesis x right parenthesis equals x plus 200\"><mi>h</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mi>x</mi><mo>+</mo><mrow><mn>200</mn></mrow></math>. What is the value of <math alttext=\"h left parenthesis 50 right parenthesis\"><mi>h</mi><mfenced><mrow><mn>50</mn></mrow></mfenced></math>?</p>","rationale_html":"<p style=\"text-align: left;\">Choice B is correct. Substituting <math alttext=\"50\"><mn>50</mn>\n</math> for <math alttext=\"x\"><mi>x</mi>\n</math> in the given function&nbsp;yields <math alttext=\"h left parenthesis 50 right parenthesis equals 50 plus 200\"><mi>h</mi><mfenced><mn>50</mn></mfenced><mo>=</mo><mn>50</mn><mo>+</mo><mn>200</mn></math>, or <math alttext=\"h left parenthesis 50 right parenthesis equals 250\"><mi>h</mi><mfenced><mn>50</mn></mfenced><mo>=</mo><mn>250</mn></math>. Therefore, the value of&nbsp;<math alttext=\"h left parenthesis 50 right parenthesis\"><mi>h</mi><mfenced><mn>50</mn></mfenced></math> is <math alttext=\"250\"><mn>250</mn>\n</math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect. This is the value of <math alttext=\"h left parenthesis 0 right parenthesis\"><mi>h</mi><mfenced><mn>0</mn></mfenced></math>.</p>\n<p style=\"text-align: left;\">Choice C is incorrect. This is the value of <math alttext=\"h left parenthesis 9,800 right parenthesis\"><mi>h</mi><mfenced><mn>9,800</mn></mfenced></math>.</p>\n<p style=\"text-align: left;\">Choice D is incorrect. This is the value of <math alttext=\"h left parenthesis 50,000 right parenthesis\"><mi>h</mi><mfenced><mn>50,000</mn></mfenced></math>.</p>","correct_answer":["B"],"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=\"200\"><mn>200</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"250\"><mn>250</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"10,000\"><mn>10,000</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"50,200\"><mn>50,200</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}}