{"id":"cb_question_bank:1c148ac9-2544-47d1-8819-792b9d53fd90","source_id":"cb_question_bank","source_item_id":"1c148ac9-2544-47d1-8819-792b9d53fd90","external_id":"a58102d0-5605-4f3b-91b2-44ba46a14ee3","ibn":null,"question_id":"6863c7ce","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"d equals 16 t The given equation represents the distance d , in inches, where t represents the number of seconds since an object started moving. Which of the following is the best interpretation of 16 in this context?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: center;\"><math alttext=\"d equals 16 t\"><mrow>\n\t<mi>d</mi>\n\t<mo>=</mo>\n\t<mrow>\n\t\t<mn>16</mn>\n\t\t<mi>t</mi>\n\t</mrow>\n</mrow>\n</math></p>\n<p style=\"text-align: left;\">The given equation represents the distance <math alttext=\"d\"><mi>d</mi>\n</math>, in inches, where <math alttext=\"t\"><mi>t</mi>\n</math> represents the number of seconds since an object started moving. Which of the following is the best interpretation of <math alttext=\"16\"><mn>16</mn>\n</math> in this context?</p>","rationale_html":"<p style=\"text-align: left;\">Choice C is correct. It’s given that in the equation <math alttext=\"d equals 16 t\"><mrow>\n\t<mi>d</mi>\n\t<mo>=</mo>\n\t<mrow>\n\t\t<mn>16</mn>\n\t\t<mi>t</mi>\n\t</mrow>\n</mrow>\n</math>, <math alttext=\"d\"><mi>d</mi>\n</math> represents the distance, in inches, and <math alttext=\"t\"><mi>t</mi>\n</math> represents the number of seconds since an object started moving. In this equation, <math alttext=\"t\"><mi>t</mi>\n</math> is being multiplied by <math alttext=\"16\"><mn>16</mn>\n</math>. This means that the object’s distance increases by <math alttext=\"16\"><mn>16</mn>\n</math> inches each second. Therefore, the best interpretation of <math alttext=\"16\"><mn>16</mn>\n</math> in this context is that the object is moving at a rate of <math alttext=\"16\"><mn>16</mn>\n</math> inches per second.</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. This is the best interpretation of <math alttext=\"16 t\"><mrow>\n\t<mn>16</mn>\n\t<mi>t</mi>\n</mrow>\n</math>, rather than <math alttext=\"16\"><mn>16</mn>\n</math>, in this context.</p>\n<p style=\"text-align: left;\">Choice D is incorrect and may result from conceptual errors.</p>","correct_answer":["C"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.811000+00:00","source_updated_at":"2023-08-02T20:25:59.811000+00:00","options":[{"label":"A","content_html":"<p style=\"text-align: left;\">The object moved a total of <math alttext=\"16\"><mn>16</mn>\n</math> inches.</p>","ord":0},{"label":"B","content_html":"<p style=\"text-align: left;\">The object moved a total of <math alttext=\"16 t\"><mrow>\n\t<mn>16</mn>\n\t<mi>t</mi>\n</mrow>\n</math> inches.</p>","ord":1},{"label":"C","content_html":"<p style=\"text-align: left;\">The object is moving at a rate of <math alttext=\"16\"><mn>16</mn>\n</math> inches per second.</p>","ord":2},{"label":"D","content_html":"<p style=\"text-align: left;\">The object is moving at a rate of <math alttext=\"one sixteenth\"><mfrac>\n\t<mn>1</mn>\n\t<mn>16</mn>\n</mfrac>\n</math> inches per second.</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}}