{"id":"cb_question_bank:7b72e6ce-e377-4fe0-9706-70a2a89e950d","source_id":"cb_question_bank","source_item_id":"7b72e6ce-e377-4fe0-9706-70a2a89e950d","external_id":"66189329-34b5-4940-a091-8d6219efb626","ibn":null,"question_id":"7b52985c","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":"H","score_band":6,"answer_type":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The scatterplot shows the relationship between the length of time y , in hours, a certain bird spent in flight and the number of days after January 11 , x . The scatterplot has 10 data points. The data points are spread out. The data points have the following coordinates: (1 comma 14) (2 comma 6) (3 comma 10) (4 comma 15) (5 comma 14.2) (6 comma 7) (7 comma 11) (8 comma 14) (9 comma 13.5) (10 comma 13.2) What is the average rate of change, in hours per day, of the length of time the bird spent in flight on January 13 to the length of time the bird spent in flight on January 15 ?","stimulus":"","stimulus_html":null,"stem_html":"

The scatterplot shows the relationship between the length of time y\n, in hours, a certain bird spent in flight and the number of days after January 11\n, x\n.

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\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n

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What is the average rate of change, in hours per day, of the length of time the bird spent in flight on January 13\n to the length of time the bird spent in flight on January 15\n?

","rationale_html":"

The correct answer is \n\t9\n\t2\n\n. It's given that the scatterplot shows the relationship between the length of time y\n, in hours, a certain bird spent in flight and the number of days after January 11\n, x\n. Since January 13\n is 2\n days after January 11\n, it follows that January 13\n corresponds to an x-value of 2\n in the scatterplot. In the scatterplot, when \n\tx\n\t=\n\t2\n\n, the corresponding value of y\n is 6\n. In other words, on January 13\n, the bird spent 6\n hours in flight. Since January 15\n is 4\n days after January 11\n, it follows that January 15\n corresponds to an x-value of 4\n in the scatterplot. In the scatterplot, when \n\tx\n\t=\n\t4\n\n, the corresponding value of y\n is 15\n. In other words, on January 15\n, the bird spent 15\n hours in flight. Therefore, the average rate of change, in hours per day, of the length of time the bird spent in flight on January 13\n to the length of time the bird spent in flight on January 15\n is the difference in the length of time, in hours, the bird spent in flight divided by the difference in the number of days after January 11\n, or 15-64-2, which is equivalent to \n\t9\n\t2\n\n. Note that 9/2 and 4.5 are examples of ways to enter a correct answer.

","correct_answer":["4.5","9/2"],"has_media":true,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.834000+00:00","source_updated_at":"2023-08-02T20:25:59.834000+00:00","options":[],"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}}