Sloane 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 = 4.0 − 0.5x.

Identify and interpret the slope in this scenario.

a. The slope is −4.0. Starting at 0.5, the GPA will decrease by 4.0 for every text sent in class.
b. The slope is −0.5. Starting at 4.0, the GPA will decrease by 0.5 for every text sent in class.
c. The slope is 4.0. Starting at 0.5, the GPA will increase by 4.0 for every text sent in class.
d. The slope is 0.5. Starting at 4.0, the GPA will increase by 0.5 for every text sent in class.

Given : Sloane 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 :-

[tex]y = 4.0-0.5x[/tex]

When we compare it to (i), we get

m=-0.5 and c=4.0

It means the slope is -0.5 and the function is starting at 4.0 and the GPA will decrease by 0.5 for every text sent in class (since its negative).

psm22415 psm22415 · Answer 2 · 2022-02-05T06:59:02+01:00

The correct option is B which is ''The slope is −0.5. Starting at 4.0, the GPA will decrease by 0.5 for every text sent in class''.

Given

The data can be modeled by the equation;

[tex]\rm y = 4.0 - 0.5x[/tex]

How to determine the slope of the line?

The standard form of the linear equation is;

[tex]\rm y = mx+c[/tex]

Where m is the slope of the equation and c is the intercept.

On comparing the given equation with the standard equation;

[tex]\rm y = 4.0 - 0.5x\\\\y = -0.5x+4.0[/tex]

The slope of the line m is -0.5 and intercept c is 4.0.

Hence, the slope is −0.5. Starting at 4.0, the GPA will decrease by 0.5 for every text sent in class.

To know more about Slope click the link given below.

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