{"id":"cb_question_bank:954cd6d1-e8fe-4779-a562-7189940da63d","source_id":"cb_question_bank","source_item_id":"954cd6d1-e8fe-4779-a562-7189940da63d","external_id":null,"ibn":"070918-DC","question_id":"d0430601","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":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The figure presents a scatterplot titled “Number of Beach Visitors versus Temperature.” The horizontal axis is labeled “Average temperature, in degrees Celsius,” and the numbers 25 through 35, in increments of 2, are indicated. The vertical axis is labeled “Number of people,” and the numbers 0 through 640, in increments of 80, are indicated. There are 11 data points in the scatterplot that begin near the bottom left portion of the coordinate plane and trend upward and to the right. The line of best fit for the data is also shown. The line of best fit passes through the points with coordinates 25 comma 80 and 32 comma 480. Each dot in the scatterplot above represents the temperature and the number of people who visited a beach in Lagos, Nigeria, on one of eleven different days. The line of best fit for the data is also shown. The line of best fit for the data has a slope of approximately 57. According to this estimate, how many additional people per day are predicted to visit the beach for each 5°C increase in average temperature?","stimulus":"","stimulus_html":null,"stem_html":"<p><img src=\"/api/assets/2529e7d5671978616366527b1987cbf556dc934da5e7389c323c8b00b2c47ed5\" alt=\"The figure presents a scatterplot titled “Number of Beach Visitors versus Temperature.” The horizontal axis is labeled “Average temperature, in degrees Celsius,” and the numbers 25 through 35, in increments of 2, are indicated. The vertical axis is labeled “Number of people,” and the numbers 0 through 640, in increments of 80, are indicated. There are 11 data points in the scatterplot that begin near the bottom left portion of the coordinate plane and trend upward and to the right. The line of best fit for the data is also shown. The line of best fit passes through the points with coordinates 25 comma 80 and 32 comma 480.\" width=\"187\" height=\"205\"></p><p class=\"stem_paragraph \">\n          <br>\nEach dot in the scatterplot above represents the temperature and the number of people who visited a beach in Lagos, Nigeria, on one of eleven different days. The line of best fit for the data is also shown. The line of best fit for the data has a slope of approximately 57. According to this estimate, how many additional people per day are predicted to visit the beach for each 5°C increase in average temperature?</p><p></p>\n","rationale_html":"<p>The correct answer is 285. The number of people predicted to visit the beach each day is represented by the <span class=\"italic\">y</span>-values of the line of best fit, and the average temperature, in degrees Celsius (<span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9bdd5f059a88d886db3400b37be99018e8d2fd20f9ade39e1c5e5d411dbe947e\" alt=\"degrees Celsius\"></span>), is represented by the <span class=\"italic\">x</span>-values. Since the slope of the line of best fit is approximately 57, the <span class=\"italic\">y</span>-value, or the number of people predicted to visit the beach each day, increases by 57 for every <span class=\"italic\">x</span>-value increase of 1, or every <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/191443e87edeb2b6f95dd21f61df967c9f868b2154d24e0f739166ab6cf2ea56\" alt=\"1 degree Celsius\"></span> increase in average temperature. Therefore, an increase of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/78b0a1ff92a59206a5772099795c7273527cfbd01e3f2e81cf20a01d873f76e6\" alt=\"5 degrees Celsius\"></span> in average temperature corresponds to a <span class=\"italic\">y</span>-value increase of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/8a19477ebf7537090a3c1fdc10e23877a7b390df045301d731ef463a4aee0295\" alt=\"57 times 5, equals 285\"></span> additional people per day predicted to visit the beach.</p>\n","correct_answer":["285"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.633000+00:00","source_updated_at":"2023-08-02T20:25:59.633000+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}}