{"id":"cb_question_bank:196aef40-8a87-49e0-8538-f8bd2caea970","source_id":"cb_question_bank","source_item_id":"196aef40-8a87-49e0-8538-f8bd2caea970","external_id":"1549b7a3-5fbf-46f8-8861-103e5d9edae0","ibn":null,"question_id":"1ee962ec","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.C.","skill":"Nonlinear functions","difficulty":"E","score_band":3,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The parabola opens upward. The parabola passes through the following points: (0 comma 0) (3 comma negative 12) (6 comma 0) Scientists recorded data about the ocean water levels at a certain location over a period of 6 hours. The graph shown models the data, where y equals 0 represents sea level. 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alttext=\"6\"><mn>6</mn>\n</math> hours. The graph shown models the data, where <math alttext=\"y equals 0\"><mrow>\n\t<mi>y</mi>\n\t<mo>=</mo>\n\t<mn>0</mn>\n</mrow>\n</math> represents sea level. Which table gives values of <math alttext=\"x\"><mi>x</mi>\n</math> and their corresponding values of <math alttext=\"y\"><mi>y</mi>\n</math> based on the model?</p>","rationale_html":"<p style=\"text-align: left;\">Choice C is correct. Each point&nbsp;<math alttext=\"left parenthesis x comma y right parenthesis\"><mfenced><mrow><mi>x</mi><mo>,</mo><mi>y</mi></mrow></mfenced></math> on the graph represents an elapsed time <math alttext=\"x\"><mi>x</mi>\n</math>, in hours, and the corresponding ocean water level <math alttext=\"y\"><mi>y</mi>\n</math>, in feet, at a certain location based on the model. The graph shown passes through the points <math alttext=\"left parenthesis 0 comma 0 right parenthesis\"><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced></math>, <math alttext=\"left parenthesis 3 comma negative 12 right parenthesis\"><mfenced><mrow><mn>3</mn><mo>,</mo><mo>-</mo><mn>12</mn></mrow></mfenced></math>, and&nbsp;<math alttext=\"left parenthesis 6 comma 0 right parenthesis\"><mfenced><mrow><mn>6</mn><mo>,</mo><mn>0</mn></mrow></mfenced></math>. Thus, the table in choice C gives the values of <math alttext=\"x\"><mi>x</mi>\n</math> and their corresponding values of <math alttext=\"y\"><mi>y</mi>\n</math> based on the model.</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 D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["C"],"has_media":true,"has_mathml":true,"has_table":true,"source_created_at":"2023-08-02T20:25:59.828000+00:00","source_updated_at":"2023-08-02T20:25:59.828000+00:00","options":[{"label":"A","content_html":"<figure class=\"table left-justified\"><table border=\"1\">\n<tbody>\n<tr>\n<th style=\"text-align: center; width: 46.3494px;\" scope=\"col\" id=\"2e1f9d90-8270-4eb9-9e6d-1db74dffc042_option_1_tableColumn_1\"><math alttext=\"x\"><mi>x</mi>\n</math></th>\n<th style=\"text-align: center; width: 54.7727px;\" scope=\"col\" id=\"2e1f9d90-8270-4eb9-9e6d-1db74dffc042_option_1_tableColumn_2\"><math alttext=\"y\"><mi>y</mi>\n</math></th>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"negative 12\"><mo>-</mo><mn>12</mn>\n</math></td>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"3\"><mn>3</mn>\n</math></td>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"3\"><mn>3</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"6\"><mn>6</mn>\n</math></td>\n</tr>\n</tbody>\n</table></figure>","ord":0},{"label":"B","content_html":"<figure class=\"table left-justified\"><table border=\"1\">\n<tbody>\n<tr>\n<th style=\"text-align: center; width: 46.3494px;\" scope=\"col\" id=\"0ce2cd3e-5fec-449a-b79f-81a244fd7302_option_2_tableColumn_1\"><math alttext=\"x\"><mi>x</mi>\n</math></th>\n<th style=\"text-align: center; width: 54.7727px;\" scope=\"col\" id=\"0ce2cd3e-5fec-449a-b79f-81a244fd7302_option_2_tableColumn_2\"><math alttext=\"y\"><mi>y</mi>\n</math></th>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"3\"><mn>3</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"12\"><mn>12</mn>\n</math></td>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"negative 6\"><mo>-</mo><mn>6</mn>\n</math></td>\n</tr>\n</tbody>\n</table></figure>","ord":1},{"label":"C","content_html":"<figure class=\"table left-justified\"><table border=\"1\">\n<tbody>\n<tr>\n<th style=\"text-align: center; width: 46.3494px;\" scope=\"col\" id=\"70bb5a93-10a0-415f-b061-97fa86866cd0_option_3_tableColumn_1\"><math alttext=\"x\"><mi>x</mi>\n</math></th>\n<th style=\"text-align: center; width: 54.7727px;\" scope=\"col\" id=\"70bb5a93-10a0-415f-b061-97fa86866cd0_option_3_tableColumn_2\"><math alttext=\"y\"><mi>y</mi>\n</math></th>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"3\"><mn>3</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"negative 12\"><mo>-</mo><mn>12</mn>\n</math></td>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"6\"><mn>6</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n</tr>\n</tbody>\n</table></figure>","ord":2},{"label":"D","content_html":"<figure class=\"table left-justified\"><table border=\"1\">\n<tbody>\n<tr>\n<th style=\"text-align: center; width: 46.3494px;\" scope=\"col\" id=\"cf7a37b3-0e5e-46e3-aa2e-6e8a87ca28ca_option_4_tableColumn_1\"><math alttext=\"x\"><mi>x</mi>\n</math></th>\n<th style=\"text-align: center; width: 54.7727px;\" scope=\"col\" id=\"cf7a37b3-0e5e-46e3-aa2e-6e8a87ca28ca_option_4_tableColumn_2\"><math alttext=\"y\"><mi>y</mi>\n</math></th>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"12\"><mn>12</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"3\"><mn>3</mn>\n</math></td>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"negative 6\"><mo>-</mo><mn>6</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n</tr>\n</tbody>\n</table></figure>","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}}