{"id":"cb_question_bank:d862da0c-9894-4500-a18e-6f4bab074a50","source_id":"cb_question_bank","source_item_id":"d862da0c-9894-4500-a18e-6f4bab074a50","external_id":"79f6861f-e1b2-4b3a-a56b-065a572689b2","ibn":null,"question_id":"fbb0ea7f","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.A.","skill":"Linear equations in one variable","difficulty":"E","score_band":3,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A rocket contained 467,000 kilograms (kg) of propellant before launch. Exactly 21 seconds after launch, 362,105 kg of this propellant remained. On average, approximately how much propellant, in kg, did the rocket burn each second after launch?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">A rocket contained <math alttext=\"467,000\"><mn>467,000</mn>\n</math> kilograms (kg) of propellant before launch. Exactly <math alttext=\"21\"><mn>21</mn>\n</math> seconds after launch, <math alttext=\"362,105\"><mn>362,105</mn>\n</math> kg of this propellant remained. On average, approximately how much propellant, in kg, did the rocket burn each second after launch?</p>","rationale_html":"<p style=\"text-align: left;\">Choice A is correct. It’s given that the rocket contained <math alttext=\"467,000 kilograms left parenthesis kg right parenthesis\"><mn>467,000</mn><mo>&nbsp;</mo><mtext>kilograms</mtext><mo>&nbsp;</mo><mtext>(kg)</mtext></math> of propellant before launch and had <math alttext=\"362,105 kg\"><mn>362,105</mn><mo>&nbsp;</mo><mtext>kg</mtext></math> remaining exactly <math alttext=\"21\"><mn>21</mn>\n</math> seconds after launch. Finding the difference between the amount, in&nbsp;<math alttext=\"kg\"><mtext>kg</mtext></math>, of propellant before launch and the remaining amount, in&nbsp;<math alttext=\"kg\"><mtext>kg</mtext></math>, of propellant after launch gives the amount, in&nbsp;<math alttext=\"kg\"><mtext>kg</mtext></math>, of propellant burned during the <math alttext=\"21\"><mn>21</mn>\n</math> seconds:&nbsp;<math alttext=\"467,000 minus 362,105 equals 104,895\"><mn>467,000</mn><mo>-</mo><mn>362,105</mn><mo>=</mo><mn>104,895</mn></math>. Dividing the amount of propellant burned by the number of seconds yields <math alttext=\"StartFraction 104,895 Over 21 EndFraction equals 4,995\"><mfrac><mn>104,895</mn><mn>21</mn></mfrac><mo>=</mo><mn>4,995</mn></math>. Thus, an average of <math alttext=\"4,995 kg\"><mn>4,995</mn><mo>&nbsp;</mo><mtext>kg</mtext></math> of propellant burned each second after launch.</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 finding the amount of propellant burned, rather than the amount of propellant burned each second.</p>","correct_answer":["A"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.808000+00:00","source_updated_at":"2023-08-02T20:25:59.808000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"4,995\"><mn>4,995</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"17,243\"><mn>17,243</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"39,481\"><mn>39,481</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"104,895\"><mn>104,895</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}}