{"id":"cb_practice_pdf:t8-math-m1-q11","source_id":"cb_practice_pdf","source_item_id":"t8-math-m1-q11","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":"Part of this question was typeset outside the text flow — a fraction, subscript or similar — and PDF extraction re-inserted it in the wrong place. The wording is reliable; the symbols may be out of order.","form_id":"cb_practice_pdf:test-8","module_number":1,"position":11,"stem":"- y 10 • 9 • 8 • 7 t - 6 5 4 • 3 \"' 2 • 1 • u X 12345678910 Which of the following equations is the most appropriate linear model for the data shown in the scatterplot? y = −1.9x−10.1","stimulus":"","stimulus_html":null,"stem_html":"<p>- y 10 • 9 • 8 • 7 t - 6 5 4 • 3 &quot;&#x27; 2 • 1 • u X 12345678910 Which of the following equations is the most appropriate linear model for the data shown in the scatterplot? y = −1.9x−10.1</p>","rationale_html":"<p>Choice B is correct. The equation representing a linear model can be written in = + = + the form y a bx, or y bx a, where b is the slope of the graph of the model 0, and ^ ah is the y-intercept of the graph of the model. The scatterplot shows that as the x-values of the data points increase, the y-values of the data points decrease, which means the graph of an appropriate linear model has a negative &lt; slope. Therefore, b 0. The scatterplot also shows that the data points are close to the y-axis at a positive value of y. Therefore, the y-intercept of the graph of an &gt; appropriate linear model has a positive y-coordinate, which means a 0. Of the =-1.9 +10.1 given choices, only choice B, y x , has a negative value for b, the slope, and a positive value for a, the y-coordinate of the y-intercept. Choice A is incorrect. The graph of this model has a y-intercept with a negative y-coordinate, not a positive y-coordinate. Choice C is incorrect. The graph of this model has a positive slope, not a negative slope, and a y-intercept with a negative y-coordinate, not a positive y-coordinate. Choice D is incorrect. The graph of this model has a positive slope, not a negative slope. 34 SAT PRACTICE TEST #8 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1</p>","correct_answer":["B"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>y = −1.9x+10.1</p>","ord":0},{"label":"B","content_html":"","ord":1},{"label":"C","content_html":"<p>y = 1.9x−10.1 y = 1.9x+10.1</p>","ord":2},{"label":"D","content_html":"","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}}