{"id":"cb_question_bank:2bac1200-915b-4edb-9aa9-c07cb8d30450","source_id":"cb_question_bank","source_item_id":"2bac1200-915b-4edb-9aa9-c07cb8d30450","external_id":"ef6e2e6b-9410-44c5-86c6-4cce2bdace80","ibn":null,"question_id":"c1bd5301","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"M","score_band":4,"answer_type":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A model predicts that a certain animal weighed 241 pounds when it was born and that the animal gained 3 pounds per day in its first year of life. This model is defined by an equation in the form f left parenthesis x right parenthesis equals a plus b x , where f left parenthesis x right parenthesis is the predicted weight, in pounds, of the animal x days after it was born, and a and b are constants. What is the value of a ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">A model predicts that a certain animal weighed <math alttext=\"241\"><mn>241</mn>\n</math> pounds when it was born and that the animal gained <math alttext=\"3\"><mn>3</mn>\n</math> pounds per day in its first year of life. This model is defined by an equation in the form <math alttext=\"f left parenthesis x right parenthesis equals a plus b x\"><mi>f</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mi>a</mi><mo>+</mo><mi>b</mi><mi>x</mi></math>, where <math alttext=\"f left parenthesis x right parenthesis\"><mi>f</mi><mfenced><mi>x</mi></mfenced></math> is the predicted weight, in pounds, of the animal <math alttext=\"x\"><mi>x</mi>\n</math> days after it was born, and <math alttext=\"a\"><mi>a</mi>\n</math> and <math alttext=\"b\"><mi>b</mi>\n</math> are constants. What is the value of <math alttext=\"a\"><mi>a</mi>\n</math>?</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"241\"><mn>241</mn>\n</math>. For a certain animal, it's given that a model predicts the animal weighed <math alttext=\"241\"><mn>241</mn>\n</math> pounds when it was born and gained <math alttext=\"3\"><mn>3</mn>\n</math> pounds per day in its first year of life. It's also given that this model is defined by an equation in the form <math alttext=\"f left parenthesis x right parenthesis equals a plus b x\"><mi>f</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mi>a</mi><mo>+</mo><mi>b</mi><mi>x</mi></math>, where <math alttext=\"f left parenthesis x right parenthesis\"><mi>f</mi><mfenced><mi>x</mi></mfenced></math> is the predicted weight, in pounds, of the animal <math alttext=\"x\"><mi>x</mi>\n</math> days after it was born, and <math alttext=\"a\"><mi>a</mi>\n</math> and <math alttext=\"b\"><mi>b</mi>\n</math> are constants. It follows that <math alttext=\"a\"><mi>a</mi>\n</math> represents the predicted weight, in pounds, of the animal when it was born and <math alttext=\"b\"><mi>b</mi>\n</math> represents the predicted rate of weight gain, in pounds per day, in its first year of life. Thus, the value of <math alttext=\"a\"><mi>a</mi>\n</math> is <math alttext=\"241\"><mn>241</mn>\n</math>.</p>","correct_answer":["241"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.810000+00:00","source_updated_at":"2023-08-02T20:25:59.810000+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}}