Ascatterplot is produced to compare the number of hours that students study to their test scores. there are 25 data points, each representing a different student. the scatterplot shows a grouping of points rising from left to right. which statement could be true? a. there is no relationship between the number of hours that students study and their test scores because the scatterplot does not have a cluster. b. as the number of hours of studying increases, test scores decrease because the scatterplot has a cluster that increases from left to right. c. as the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right. d. the number of hours that students study is equal to the test scores because the scatterplot does not show a cluster.

step-by-step explanation:

options

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true