{"id":"cb_question_bank:40dbc802-011a-4ffb-91b5-8cc28aacd569","source_id":"cb_question_bank","source_item_id":"40dbc802-011a-4ffb-91b5-8cc28aacd569","external_id":null,"ibn":"11102-DC","question_id":"7ac5d686","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.D.","skill":"Two-variable data: Models and scatterplots","difficulty":"M","score_band":5,"answer_type":"mcq","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"An inspector begins a day of work with a large sample of shirts that need to be checked for defects. The inspector works at a constant rate throughout the morning. What type of model is best to model the number of shirts remaining to be checked for defects at any given time throughout the morning?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">An inspector begins a day of work with a large sample of shirts that need to be checked for defects. The inspector works at a constant rate throughout the morning. What type of model is best to model the number of shirts remaining to be checked for&nbsp;defects at any given time throughout the morning? </p>\n","rationale_html":"<p>Choice B is correct. Since the work is done at a constant rate, a linear model best models the situation. The number of shirts remaining is dependent on the length of time the inspector has worked; therefore, if the relationship were graphed, time would be the variable of the horizontal axis and the number of remaining shirts would be the variable of the <span class=\"italic\"></span>vertical axis. Since the number of shirts decreases as the time worked increases, it follows that the slope of this graph is negative.</p><p>Choice A is incorrect and may result from incorrectly reasoning about the slope. Choices C and D are incorrect and may result from not identifying the constant rate of work as a characteristic of a linear model.</p><p></p>\n","correct_answer":["B"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.638000+00:00","source_updated_at":"2023-08-02T20:25:59.638000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">A linear model with a positive slope </p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">A linear model with a negative slope </p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">An exponential growth model</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">An exponential decay model</p>\n","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}}