{"id":"cb_question_bank:fe44994b-a61c-4ff7-9939-d3a6b5dd434b","source_id":"cb_question_bank","source_item_id":"fe44994b-a61c-4ff7-9939-d3a6b5dd434b","external_id":"2825ecca-ede4-4a29-bbb0-928be95b590b","ibn":null,"question_id":"5ad6bc97","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"E","score_band":2,"answer_type":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"f left parenthesis x right parenthesis equals 7 x plus 1 The function gives the total number of people on a company retreat with x managers. What is the total number of people on a company retreat with 7 managers?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: center;\"><math alttext=\"f left parenthesis x right parenthesis equals 7 x plus 1\"><mi>f</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mn>7</mn><mi>x</mi><mo>+</mo><mn>1</mn></math></p>\n<p style=\"text-align: left;\">The function gives the total number of people on a company retreat with <math alttext=\"x\"><mi>x</mi>\n</math> managers. What is the total number of people on a company retreat with <math alttext=\"7\"><mn>7</mn>\n</math> managers?</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"50\"><mn>50</mn>\n</math>. It's given that the function <math alttext=\"f\"><mi>f</mi>\n</math> gives the total number of people on a company retreat with <math alttext=\"x\"><mi>x</mi>\n</math> managers. It's also given that <math alttext=\"7\"><mn>7</mn>\n</math> managers are on the company retreat. Substituting <math alttext=\"7\"><mn>7</mn>\n</math> for <math alttext=\"x\"><mi>x</mi>\n</math> in the given function&nbsp;yields <math alttext=\"f left parenthesis 7 right parenthesis equals 7 left parenthesis 7 right parenthesis plus 1\"><mi>f</mi><mfenced><mn>7</mn></mfenced><mo>=</mo><mn>7</mn><mfenced><mn>7</mn></mfenced><mo>+</mo><mn>1</mn></math>, or <math alttext=\"f left parenthesis 7 right parenthesis equals 50\"><mi>f</mi><mfenced><mn>7</mn></mfenced><mo>=</mo><mn>50</mn></math>. Therefore, there are a total of <math alttext=\"50\"><mn>50</mn>\n</math> people on a company retreat with <math alttext=\"7\"><mn>7</mn>\n</math> managers.</p>","correct_answer":["50"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.812000+00:00","source_updated_at":"2023-08-02T20:25:59.812000+00:00","options":[],"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}}