The slope of the table is $75 and the slope represents the rate of change of charges for repairing the car per hour.
Explanation:
Given that the car repair company charges a $15 fee for evaluation plus a rate for any services required.
We need to determine the slope.
The slope can be determined using the formula,
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
From the table, we shall consider the coordinates (0,15) and (2,165)
Let us substitute these two points in the formula, we get,
![m=\frac{165-15}{2-0}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B165-15%7D%7B2-0%7D)
Simplifying the terms, we have,
![m=\frac{150}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B150%7D%7B2%7D)
Dividing the terms, we get,
![m=75](https://tex.z-dn.net/?f=m%3D75)
Thus, the slope of the table is ![m=75](https://tex.z-dn.net/?f=m%3D75)
The slope represents the rate of change of charges for repairing the car per hour.