{"id":"cb_question_bank:6bed8a1c-4d10-4875-8acf-55634514a991","source_id":"cb_question_bank","source_item_id":"6bed8a1c-4d10-4875-8acf-55634514a991","external_id":null,"ibn":"028905-DC","question_id":"80da233d","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.E.","skill":"Linear inequalities in one or two variables","difficulty":"M","score_band":5,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A certain elephant weighs 200 pounds at birth and gains more than 2 but less than 3 pounds per day during its first year. Which of the following inequalities represents all possible weights w , in pounds, for the elephant 365 days after birth?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">A certain elephant weighs 200 pounds at birth and gains more than 2 but less than 3 pounds per day during its first&nbsp;year. Which of the following inequalities represents all possible weights <span class=\"italic\">w</span>, in pounds, for the elephant 365 days after birth?</p>\n","rationale_html":"<p>Choice D is correct. It’s given that the elephant weighs 200 pounds at birth and gains more than 2 pounds but less than 3 pounds per day during its first year. The inequality <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/396e484fb00bb7f36fd7e04f80efe018459b47adf6999ef5091516d82eac7ea1\" alt=\"200 plus 2 d, is less than w, which is less than 200 plus 3 d\"></span> represents this situation, where <span class=\"italic\">d</span> is the number of days after birth. Substituting 365 for <span class=\"italic\">d</span> in the inequality gives <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/fbafd62cbdfde34adc8880c1ad59c66653b014e400915559fb46c18665bdb49a\" alt=\"200 plus 2, times 365, is less than w, which is less than 200 plus 3, times 365\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0e583b3b7c7a25009e37dd1241f6c6d8f69a266d3feb79a12e9208764aa1e016\" alt=\"930 is less than w, which is less than 1,295\"></span>.</p><p>Choice A is incorrect and may result from solving the inequality <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/47388105be6f2953ceb3e951dcf5a8a8ed80bb932db87fb645d48096dc14e2ab\" alt=\"200 times 2, is less than w, which is less than 200 times 3\"></span>. Choice B is incorrect and may result from solving the inequality for a weight range of more than 1 pound but less than 2 pounds: <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e6de73cb75ce27580a3fcddc299d98bb71572b69caecced1ab924f08da88ed7c\" alt=\"200 plus 1, times 365, is less than w, which is less than 200 plus 2, times 365\"></span>. Choice C is incorrect and may result from calculating the possible weight gained by the elephant during the first year without adding the 200 pounds the elephant weighed at birth.</p><p></p>\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.623000+00:00","source_updated_at":"2023-08-02T20:25:59.623000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1b2d308e27ea707afb50db37dc35335f4a86a7946eedea17e1df6b6f7a8ddf52\" alt=\"400 is less than w, which is less than 600\"></span></span>\n          </p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5c512a9bec79e8e553e1b71891588433e48aee09f928df3adefa109f07cf4735\" alt=\"565 is less than w, which is less than 930\"></span></span>\n          </p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6177607c52e7a8c3c7bd12d5b9b93a9c5635021da9eb1b6b57a79bdb3c79aa7a\" alt=\"730 is less than w, which is less than 1,095\"></span></span>\n          </p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0e583b3b7c7a25009e37dd1241f6c6d8f69a266d3feb79a12e9208764aa1e016\" alt=\"930 is less than w, which is less than 1,295\"></span></span>\n          </p>\n","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}}