{"id":"cb_question_bank:d3c93aee-c60c-46a5-ad43-247adcd9732b","source_id":"cb_question_bank","source_item_id":"d3c93aee-c60c-46a5-ad43-247adcd9732b","external_id":null,"ibn":"08486-DC","question_id":"daad7c32","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"H","score_band":6,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"An object hangs from a spring. The formula l equals, 30 plus 2 w relates the length l , in centimeters, of the spring to the weight w , in newtons, of the object. Which of the following describes the meaning of the 2 in this context?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">An object hangs from a spring. The formula <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/f499a9e2821c445164ec6a04685ba75e86adbbf544c814e43e31f4447a9b4dd7\" alt=\"l equals, 30 plus 2 w\"></span></span> relates the length <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b3ed61300b239762a0f7bec1dc9a48ecd5e011d08d5338f426429aa3c459a067\" alt=\"l\"></span></span>, in centimeters, of the spring to the weight <span class=\"italic\">w</span>, in newtons, of the object. Which of the following describes the meaning of the 2 in this context?</p>\n","rationale_html":"<p>Choice D is correct. The value 2 is multiplied by <span class=\"italic\">w</span>, the weight of the object. When the weight is 0, the length is 30 + 2(0) = 30 centimeters. If the weight increases by <span class=\"italic\">w</span> newtons, the length increases by 2<span class=\"italic\">w</span> centimeters, or 2 centimeters for each one-newton increase in weight.</p><p>\n        <br>\nChoice A is incorrect because this describes the value 30. Choice B is incorrect because 30 represents the length of the spring before it has been stretched. Choice C is incorrect because this describes the value <span class=\"italic\">w</span>.</p><p></p>\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.636000+00:00","source_updated_at":"2023-08-02T20:25:59.636000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">The length, in centimeters, of the spring with no weight attached</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">The weight, in newtons, of an object that will stretch the spring 30 centimeters</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">The increase in the weight, in newtons, of the object for each one-centimeter increase in the length of the spring</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">The increase in the length, in centimeters, of the spring for each one-newton increase in the weight of the object</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}}