{"id":"cb_question_bank:60a2f38d-8d55-4df6-ab15-0d9ee8fb90da","source_id":"cb_question_bank","source_item_id":"60a2f38d-8d55-4df6-ab15-0d9ee8fb90da","external_id":"f41f1cb2-304e-4865-a112-f9de1e665a43","ibn":null,"question_id":"735a0a00","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":"y equals 0.25 x squared minus 7.5 x plus 90.25 The equation gives the estimated stock price y , in dollars, for a certain company x days after a new product launched, where 0 less than or equals x less than or equals 20 . Which statement is the best interpretation of left parenthesis x comma y right parenthesis equals left parenthesis 1 comma 83 right parenthesis in this context?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: center;\"><math alttext=\"y equals 0.25 x squared minus 7.5 x plus 90.25\"><mrow>\n\t<mi>y</mi>\n\t<mo>=</mo>\n\t<mrow>\n\t\t<mrow>\n\t\t\t<mn>0.25</mn>\n\t\t\t<msup>\n\t\t\t\t<mi>x</mi>\n\t\t\t\t<mn>2</mn>\n\t\t\t</msup>\n\t\t</mrow>\n\t\t<mo>-</mo>\n\t\t<mrow>\n\t\t\t<mn>7.5</mn>\n\t\t\t<mi>x</mi>\n\t\t</mrow>\n\t\t<mo>+</mo>\n\t\t<mn>90.25</mn>\n\t</mrow>\n</mrow>\n</math></p>\n<p style=\"text-align: left;\">The equation gives the estimated stock price <math alttext=\"y\"><mi>y</mi>\n</math>, in dollars, for a certain company <math alttext=\"x\"><mi>x</mi>\n</math> days after a new product launched, where <math alttext=\"0 less than or equals x less than or equals 20\"><mn>0</mn><mo>≤</mo><mi>x</mi><mo>≤</mo><mn>20</mn></math>. Which statement is the best interpretation of&nbsp;<math alttext=\"left parenthesis x comma y right parenthesis equals left parenthesis 1 comma 83 right parenthesis\"><mfenced><mrow><mi>x</mi><mo>,</mo><mi>y</mi></mrow></mfenced><mo>=</mo><mfenced><mrow><mn>1</mn><mo>,</mo><mn>83</mn></mrow></mfenced></math> &nbsp;in this context?</p>","rationale_html":"<p style=\"text-align: left;\">Choice C is correct. In the given equation, <math alttext=\"x\"><mi>x</mi>\n</math> represents the number of days after a new product launched, where <math alttext=\"0 less than or equals x less than or equals 20\"><mn>0</mn><mo>≤</mo><mi>x</mi><mo>≤</mo><mn>20</mn></math>, and <math alttext=\"y\"><mi>y</mi>\n</math> represents the estimated stock price, in dollars, for a certain company. Therefore, the best interpretation of <math alttext=\"left parenthesis x comma y right parenthesis equals left parenthesis 1 comma 83 right parenthesis\"><mfenced><mrow><mi>x</mi><mo>,</mo><mi>y</mi></mrow></mfenced><mo>=</mo><mfenced><mrow><mn>1</mn><mo>,</mo><mn>83</mn></mrow></mfenced></math> in this context is that <math alttext=\"1\"><mn>1</mn>\n</math> day after the new product launched, the company's estimated stock price is <math alttext=\"dollar sign 83\"><mo>$</mo><mn>83</mn></math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect and may result from conceptual errors.</p>\n<p style=\"text-align: left;\">Choice B is incorrect and may result from conceptual errors.</p>\n<p style=\"text-align: left;\">Choice D is incorrect and may result from conceptual errors.<br>&nbsp;</p>","correct_answer":["C"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.826000+00:00","source_updated_at":"2023-08-02T20:25:59.826000+00:00","options":[{"label":"A","content_html":"<p style=\"text-align: left;\">The company's estimated stock price increased <math alttext=\"dollar sign 83\"><mo>$</mo><mn>83</mn>\n</math> every day after the new product launched.</p>","ord":0},{"label":"B","content_html":"<p style=\"text-align: left;\">The company's estimated stock price increased <math alttext=\"dollar sign 1\"><mo>$</mo><mn>1</mn></math> every <math alttext=\"83\"><mn>83</mn>\n</math> days after the new product launched.</p>","ord":1},{"label":"C","content_html":"<p style=\"text-align: left;\"><math alttext=\"1\"><mn>1</mn></math> day after the new product launched, the company's estimated stock price is <math alttext=\"dollar sign 83\"><mo>$</mo><mn>83</mn>\n</math>.</p>","ord":2},{"label":"D","content_html":"<p style=\"text-align: left;\"><math alttext=\"83\"><mn>83</mn>\n</math> days after the new product launched, the company's estimated stock price is <math alttext=\"dollar sign 1\"><mo>$</mo><mn>1</mn></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}}