{"id":"cb_question_bank:e15fbe50-8cee-4dcc-aa76-b1c582335b62","source_id":"cb_question_bank","source_item_id":"e15fbe50-8cee-4dcc-aa76-b1c582335b62","external_id":"05eb7086-86be-4c43-bb55-070f148ab34a","ibn":null,"question_id":"3918e8bc","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":"An object is kicked from a platform. The equation h equals minus 4.9 t squared plus 7 t plus 9 represents this situation, where h is the height of the object above the ground, in meters, t seconds after it is kicked. Which number represents the height, in meters, from which the object was kicked?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">An object is kicked from a platform. The equation <math alttext=\"h equals minus 4.9 t squared plus 7 t plus 9\"><mi>h</mi><mo>=</mo><mo>-</mo><mn>4.9</mn><msup><mi>t</mi><mn>2</mn></msup><mo>+</mo><mrow><mn>7</mn></mrow><mi>t</mi><mo>+</mo><mrow><mn>9</mn></mrow></math> represents this situation, where <math alttext=\"h\"><mi>h</mi>\n</math> is the height of the object above the ground, in meters, <math alttext=\"t\"><mi>t</mi>\n</math> seconds after it is kicked. Which number represents the height, in meters, from which the object was kicked?</p>","rationale_html":"<p style=\"text-align: left;\">Choice D is correct. It’s given that the equation <math alttext=\"h equals minus 4.9 t squared plus 7 t plus 9\"><mrow>\n\t<mi>h</mi>\n\t<mo>=</mo>\n\t<mrow>\n\t\t<mrow>\n\t\t\t<mo>-</mo>\n\t\t\t<mn>4.9</mn>\n\t\t\t<msup>\n\t\t\t\t<mi>t</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</mn>\n\t\t\t<mi>t</mi>\n\t\t</mrow>\n\t\t<mo>+</mo>\n\t\t<mn>9</mn>\n\t</mrow>\n</mrow>\n</math> represents this situation, where <math alttext=\"h\"><mi>h</mi>\n</math> is the height, in meters, of the object <math alttext=\"t\"><mi>t</mi>\n</math> seconds after it is kicked. It follows that the height, in meters, from which the object was kicked is the value of <math alttext=\"h\"><mi>h</mi>\n</math> when <math alttext=\"t equals 0\"><mrow>\n\t<mi>t</mi>\n\t<mo>=</mo>\n\t<mn>0</mn>\n</mrow>\n</math>. Substituting <math alttext=\"0\"><mn>0</mn>\n</math> for <math alttext=\"t\"><mi>t</mi>\n</math> in the equation <math alttext=\"h equals minus 4.9 t squared plus 7 t plus 9\"><mrow>\n\t<mi>h</mi>\n\t<mo>=</mo>\n\t<mrow>\n\t\t<mrow>\n\t\t\t<mo>-</mo>\n\t\t\t<mn>4.9</mn>\n\t\t\t<msup>\n\t\t\t\t<mi>t</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</mn>\n\t\t\t<mi>t</mi>\n\t\t</mrow>\n\t\t<mo>+</mo>\n\t\t<mn>9</mn>\n\t</mrow>\n</mrow>\n</math> yields <math alttext=\"h equals minus 4.9 left parenthesis 0 right parenthesis squared plus 7 left parenthesis 0 right parenthesis plus 9\"><mi>h</mi><mo>=</mo><mo>-</mo><mn>4.9</mn><msup><mfenced><mn>0</mn></mfenced><mn>2</mn></msup><mo>+</mo><mn>7</mn><mfenced><mn>0</mn></mfenced><mo>+</mo><mn>9</mn></math>, or <math alttext=\"h equals 9\"><mrow>\n\t<mi>h</mi>\n\t<mo>=</mo>\n\t<mn>9</mn>\n</mrow>\n</math>. Therefore, the object was kicked from a height of <math alttext=\"9\"><mn>9</mn>\n</math> meters.</p>\n<p style=\"text-align: left;\">Choice A is incorrect and may result from conceptual or calculation errors.</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>","correct_answer":["D"],"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><math alttext=\"0\"><mn>0</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"4.9\"><mn>4.9</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"7\"><mn>7</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"9\"><mn>9</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}}