{"id":"cb_practice_pdf:t4-math-m1-q10","source_id":"cb_practice_pdf","source_item_id":"t4-math-m1-q10","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":null,"form_id":"cb_practice_pdf:test-4","module_number":1,"position":10,"stem":"The scatterplot shows the relationship between two variables, x and y. y 10+-+--+--+--i------,f-----+---+--+--+--+ 9 ---+--+--i------,f-----+---+--+--+--+ 8 -+---+--+-4~o--+---+---+---+--+--+---+---+- 7 -+---+--+--+--+-----,,-----+---+---+---+----+- 6 +--+--+--+--i------,f-----+---+--+--+--+ 5 +--+--+----t----+if-----+---+--+--+--+ 4 3^-+---+--+--+--+-----,,-----+---+---+---+----+- -+---+--+--+--+-----,re-----+-11-r-t<-.-+---+----+- 2 +--+--+--+--i------,f-----+---+--+--+---.+- -----------------x 1 -+---+--+--+--+-----,,-----+---+---+___,_---+- U 12345678910 Which of the following equations is the most appropriate linear model for the data shown?","stimulus":"","stimulus_html":null,"stem_html":"<p>The scatterplot shows the relationship between two variables, x and y. y 10+-+--+--+--i------,f-----+---+--+--+--+ 9 ---+--+--i------,f-----+---+--+--+--+ 8 -+---+--+-4~o--+---+---+---+--+--+---+---+- 7 -+---+--+--+--+-----,,-----+---+---+---+----+- 6 +--+--+--+--i------,f-----+---+--+--+--+ 5 +--+--+----t----+if-----+---+--+--+--+ 4 3^-+---+--+--+--+-----,,-----+---+---+---+----+- -+---+--+--+--+-----,re-----+-11-r-t&lt;-.-+---+----+- 2 +--+--+--+--i------,f-----+---+--+--+---.+- -----------------x 1 -+---+--+--+--+-----,,-----+---+---+___,_---+- U 12345678910 Which of the following equations is the most appropriate linear model for the data shown?</p>","rationale_html":"<p>Choice D is correct. The data points suggest that as the variable x increases, the variable y decreases, which implies that an appropriate linear model for the data has a negative slope. The data points also show that when x is close to 0, y is greater than 9. Therefore, the y-intercept of the graph of an appropriate linear model has a y-coordinate greater than 9. The graph of an equation of the form = + y a bx, where a and b are constants, has a y-intercept with a y-coordinate of a and has a slope of b. Of the given choices, only choice D represents a graph - that has a negative slope, 0.9, and a y-intercept with a y-coordinate greater than 9, 9.4. Choice A is incorrect. The graph of this equation has a positive slope, not a negative slope, and a y-intercept with a y-coordinate less than 1, not greater than 9. Choice B is incorrect. The graph of this equation has a y-intercept with a y-coordinate less than 1, not greater than 9. Choice C is incorrect. The graph of this equation has a positive slope, not a negative slope.</p>","correct_answer":["D"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>y = 0.9 + 9.4x</p>","ord":0},{"label":"B","content_html":"<p>y = 0.9 − 9.4x</p>","ord":1},{"label":"C","content_html":"<p>y = 9.4 + 0.9x</p>","ord":2},{"label":"D","content_html":"<p>y = 9.4 − 0.9x</p>","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}