{"id":"cb_question_bank:7a8d7d0b-d30f-45a0-8854-d676507348bc","source_id":"cb_question_bank","source_item_id":"7a8d7d0b-d30f-45a0-8854-d676507348bc","external_id":null,"ibn":"016491-DC","question_id":"d71f6dbf","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.C.","skill":"Nonlinear functions","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The height, in feet, of an object x seconds after it is thrown straight up in the air can be modeled by the function h of x equals, negative 16 x squared, plus 20 x, plus 5 . Based on the model, which of the following statements best interprets the equation h of 1 point 4 equals, 1 point 6 4 ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">The height, in feet, of an object <span class=\"italic\">x</span> seconds after it is thrown straight up in the air can be modeled by the function <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/12729dcb44f00d9c278c5cb4c12d69b1c5c555b6c15b3a6fa526198ed0d88ec1\" alt=\"h of x equals, negative 16 x squared, plus 20 x, plus 5\"></span></span>. Based on the model, which of the following statements best interprets the equation <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/47766d10c212edc31275d64338f5c3ebb95adfd57eb3d2c8bd430566a195f9b3\" alt=\"h of 1 point 4 equals, 1 point 6 4\"></span></span> ?</p>\n","rationale_html":"<p>Choice A is correct. The value 1.4 is the value of <span class=\"italic\">x</span>, which represents the number of seconds after the object was thrown straight up in the air. When the function <span class=\"italic\">h</span> is evaluated for <span class=\"italic\">x</span> = 1.4<span class=\"italic\"></span>, the function has a value of 1.64, which is the height, in feet, of the object.</p><p>Choices B and C are incorrect and may result from misidentifying seconds as feet and feet as seconds. Additionally, choice C may result from incorrectly including the initial height of the object as the input <span class=\"italic\">x</span>. Choice D is incorrect and may result from misidentifying height as speed.</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.615000+00:00","source_updated_at":"2023-08-02T20:25:59.615000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">The height of the object 1.4 seconds after being thrown straight up in the air is 1.64 feet.</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">The height of the object 1.64 seconds after being thrown straight up in the air is 1.4 feet.</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">The height of the object 1.64 seconds after being thrown straight up in the air is approximately 1.4 times as great as its initial height.</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">The speed of the object 1.4 seconds after being thrown straight up in the air is approximately 1.64 feet per second.</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}}