Question

Brent is trying to figure out the relationship between the number of times his friends post on social media and their grade point averages. He records the collected data on a scatter plot. Which of the linear functions best models the line of best fit? What does the slope in the equation represent?
A) y = 0.004x - 4; the average number of posts per friend


B) y = -0.5x - 4; the amount of decrease in the GPA for each post


C) y = 0.05x - 4; the amount of increase in the GPA for each post


D) y = -0.004x + 4; the amount of decrease in the GPA for each post

Answer 1

Answer:

D.) y = -0.004x + 4; the amount of decrease in the GPA for each post

Step-by-step explanation:

Use y = mx + b to write the line of best fit

The y-intercept is 4.

To find the slope, estimate 2 points on the line and substitute the coordinates into the slope formula.

Points: (0,4) and(120, 3.5)

m =  

3.5 - 4

120 - 0

m = -0.004

The slope represents the change in the GPA per post. It is negative because as the number of posts increases, the GPA decreases.

y = -0.004x + x

Answer 2

Answer:

the answer is D

y=-o.oo4x + 4; the amount of drcreases in the GPA for each post