{"id":"cb_question_bank:42cd9a7a-9a79-4cee-a8fe-dd2f18a8a248","source_id":"cb_question_bank","source_item_id":"42cd9a7a-9a79-4cee-a8fe-dd2f18a8a248","external_id":"ea18109c-11ea-4e1e-a907-b4a77b4a93e1","ibn":null,"question_id":"b3abf40f","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":"upper F left parenthesis x right parenthesis equals nine fifths left parenthesis x minus 273.15 right parenthesis plus 32 The function upper F gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of x kelvins. If a temperature increased by 9.10 kelvins, by how much did the temperature increase, in degrees Fahrenheit?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: center;\"><math alttext=\"upper F left parenthesis x right parenthesis equals nine fifths left parenthesis x minus 273.15 right parenthesis plus 32\"><mi>F</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mfrac><mn>9</mn><mn>5</mn></mfrac><mfenced><mrow><mi>x</mi><mo>-</mo><mn>273.15</mn></mrow></mfenced><mo>+</mo><mn>32</mn></math></p>\n<p style=\"text-align: left;\">The function <math alttext=\"upper F\"><mi>F</mi>\n</math> gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of <math alttext=\"x\"><mi>x</mi>\n</math> kelvins. If a temperature increased by <math alttext=\"9.10\"><mn>9.10</mn>\n</math> kelvins, by how much did the temperature increase, in degrees Fahrenheit?</p>","rationale_html":"<p style=\"text-align: left;\">Choice A is correct. It’s given that the function <math alttext=\"upper F left parenthesis x right parenthesis equals nine fifths left parenthesis x minus 273.15 right parenthesis plus 32\"><mi>F</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mfrac><mn>9</mn><mn>5</mn></mfrac><mfenced><mrow><mi>x</mi><mo>-</mo><mn>273.15</mn></mrow></mfenced><mo>+</mo><mn>32</mn></math> gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of <math alttext=\"x\"><mi>x</mi>\n</math> kelvins. A temperature that increased by <math alttext=\"9.10\"><mn>9.10</mn></math> kelvins means that the value of <math alttext=\"x\"><mi>x</mi>\n</math> increased by <math alttext=\"9.10\"><mn>9.10</mn></math> kelvins. It follows that an increase in <math alttext=\"x\"><mi>x</mi>\n</math> by <math alttext=\"9.10\"><mn>9.10</mn></math> increases <math alttext=\"upper F left parenthesis x right parenthesis\"><mi>F</mi><mo>(</mo><mi>x</mi><mo>)</mo></math> by <math alttext=\"nine fifths left parenthesis 9.10 right parenthesis\"><mfrac><mn>9</mn><mn>5</mn></mfrac><mfenced><mn>9.10</mn></mfenced></math>, or&nbsp;<math alttext=\"16.38\"><mn>16.38</mn></math>. Therefore, if a temperature increased by <math alttext=\"9.10\"><mn>9.10</mn></math> kelvins, the temperature increased by <math alttext=\"16.38\"><mn>16.38</mn></math> degrees Fahrenheit.&nbsp;</p>\n<p style=\"text-align: left;\">Choice B is incorrect and may result from conceptual or calculation errors.</p>\n<p style=\"text-align: left;\">Choice C is incorrect and may result from conceptual or calculation errors.</p>\n<p style=\"text-align: left;\">Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["A"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.810000+00:00","source_updated_at":"2023-08-02T20:25:59.810000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"16.38\"><mn>16.38</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"48.38\"><mn>48.38</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"475.29\"><mn>475.29</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"507.29\"><mn>507.29</mn>\n</math></p>","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}}