Question

Dakota believes there is a correlation between the number of texts sent in class and GPA. She collected data and found that the line of best fit for the data can be modeled by the equation y = 3.9 − 0.3x.

Identify and interpret the slope in this scenario.

a. The slope is −3.9. Starting at 0.3, the GPA will decrease by 3.9 for every text sent in class.
b. The slope is 3.9. Starting at 0.3, the GPA will increase by 3.9 for every text sent in class.
c. The slope is 0.3. Starting at 3.9, the GPA will increase by 0.3 for every text sent in class.
d. The slope is −0.3. Starting at 3.9, the GPA will decrease by 0.3 for every text sent in class.

Answer 1

The Answer is D. The slope is 0.5. Starting at 4.0, the GPA will increase by 0.5 for every text sent in class.

Hope This Helps!

Answer 2

Answer: d. The slope is −0.3. Starting at 3.9, the GPA will decrease by 0.3 for every text sent in class.

Explanation:

Given : Dakota believes there is a correlation between the number of texts sent in class and GPA. She collected data and found that the line of best fit for the data can be modeled by the equation
`y = 3.9 - 0.3x`.

The equation of a line in intercept form is given by :-

`y=mx+c`, where m is the slope and c is the y-intercept or the initial value of the function.

When we compare it to the given function, we get

m=-0.3 and c=3.9

It means the slope is -0.3 and the function is starting at 3.9 and the GPA will decrease by 0.3 for every text sent in class (since slope is negative).