{"id":"cb_question_bank:60ca289b-dc9d-4915-a5f0-82523edb8666","source_id":"cb_question_bank","source_item_id":"60ca289b-dc9d-4915-a5f0-82523edb8666","external_id":null,"ibn":"029018-DC","question_id":"dae126d7","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear 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 boiling point of water at sea level is 212 degrees Fahrenheit degrees Fahrenheit . For every 550 feet above sea level, the boiling point of water is lowered by about 1 degree Fahrenheit . Which of the following equations can be used to find the boiling point B of water, in degrees Fahrenheit , x feet above sea level?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">The boiling point of water at sea level is 212 degrees Fahrenheit <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b10c2cca7842583be759a04aa36a964e3f6db03f587075796be514b9402d18b0\" alt=\"degrees Fahrenheit\"></span></span>. For every 550 feet above sea level, the boiling point of water is lowered by about <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7bf2576c77c7d89893cb014e571b2a6dc3c3f5a152c45e3551071a06643d61ef\" alt=\"1 degree Fahrenheit\"></span></span>. Which of the following equations can be used to find the boiling point <span class=\"italic\">B</span> of water, in <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e1ff8681b4d3820481cc47dcbf308de6640d18cb027f87416a13b32d1c2f0c7b\" alt=\"degrees Fahrenheit\"></span></span>, <span class=\"italic\">x</span> feet above sea level?</p>\n","rationale_html":"<p>Choice D is correct. It’s given that the boiling point of water at sea level is 212°F and that for every 550 feet above sea level, the boiling point of water is lowered by about 1°F. Therefore, the change in the boiling point of water <span class=\"italic\">x</span> feet above sea level is represented by the expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/27adfc6f0eb8b68772ee88449c60df2e0d4bdb557d1adc3ca9f40d9c84cd76e9\" alt=\"the negative of the fraction x over 550\"></span>. Adding this expression to the boiling point of water at sea level gives the equation for the boiling point <span class=\"italic\">B</span> of water, in °F, <span class=\"italic\">x</span> feet above sea level: <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/a33eb484d0bcb8a161b652dba8cc030c1fa0d47be1ef3987d5c8bca21d0c105d\" alt=\"B equals, the negative of the fraction x over 550, end fraction, plus 212\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1ea2485f1800b0eac01cbed5618d6c97d759943600201e20488179d7271efa3d\" alt=\"B equals, 212 minus, the fraction x over 550\"></span>.</p><p>Choices A and B are incorrect and may result from using the boiling point of water at sea level as the rate of change and the rate of change as the initial boiling point of water at sea level. Choice C is incorrect and may result from representing the change in the boiling point of water as an increase rather than a decrease.</p><p></p>\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.624000+00:00","source_updated_at":"2023-08-02T20:25:59.624000+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/01ed5e33f8d1492c304fa7d96dd9880b66e3a9b1d9884e139399a15a8c3f0ede\" alt=\"B equals, 550 plus, the fraction x over 212\"></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/c93dc0884e02935ab25160028d319d8e66b6549ac504a488c83d2b3dd67a6faa\" alt=\"B equals, 550 minus, the fraction x over 212\"></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/4353f12c7f1472081f98e37c347cd1241ffd8a9a40ddea2b54f295893da106ff\" alt=\"B equals, 212 plus, the fraction x over 550\"></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/1ea2485f1800b0eac01cbed5618d6c97d759943600201e20488179d7271efa3d\" alt=\"B equals, 212 minus, the fraction x over 550\"></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}}