{"id":"cb_question_bank:0fd18295-0212-48c4-ad13-46a0c7b0f444","source_id":"cb_question_bank","source_item_id":"0fd18295-0212-48c4-ad13-46a0c7b0f444","external_id":null,"ibn":"070611-DC","question_id":"e62cfe5f","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":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"According to a model, the head width, in millimeters, of a worker bumblebee can be estimated by adding 0.6 to four times the body weight of the bee, in grams. According to the model, what would be the head width, in millimeters, of a worker bumblebee that has a body weight of 0.5 grams?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">According to a model, the head width, in millimeters, of a worker bumblebee can be estimated by adding 0.6 to four times the body weight of the bee, in grams. According to the model, what would be the head width, in millimeters, of a worker bumblebee that has a body weight of 0.5 grams?</p>\n","rationale_html":"<p>The correct answer is 2.6. According to the model, the head width, in millimeters, of a worker bumblebee can be estimated by adding 0.6 to 4 times the body weight, in grams, of the bee. Let <span class=\"italic\">x</span> represent the body weight, in grams, of a worker bumblebee and let <span class=\"italic\">y</span> represent the head width, in millimeters. Translating the verbal description of the model into an equation yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9435394e167a78900e77cb20ad220820730f91b6d16f43dc55283c66ccb697ff\" alt=\"y equals, 0 point 6 plus 4 x\"></span>. Substituting 0.5 grams for <span class=\"italic\">x</span> in this equation yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/2133fd06c2070cc6b7ce51aca8b50bd2781f202faf7639c772169b1c328afb69\" alt=\"y equals, 0 point 6, plus 4 times 0 point 5\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c7df713b38a812f704a2c952b2e01581d45f31a80c8ee2856cd6fc629a4581c8\" alt=\"y equals 2 point 6\"></span>. Therefore, a worker bumblebee with a body weight of 0.5 grams has an estimated head width of 2.6 millimeters. Note that 2.6 and 13/5 are examples of ways to enter a correct answer.</p>\n","correct_answer":["2.6"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.631000+00:00","source_updated_at":"2023-08-02T20:25:59.631000+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}}