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. Check the original PDF →
- 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
Correct answer: B (parsed from the explanation — this source omits an answer key for this item)
Explanation
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 < 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 > 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
Loading…
Searched on YouTube by topic, not by question text. Open this search on YouTube →
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.