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,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table, we shall consider the coordinates (0,15) and (2,165)
Let us substitute these two points in the formula, we get,
[tex]m=\frac{165-15}{2-0}[/tex]
Simplifying the terms, we have,
[tex]m=\frac{150}{2}[/tex]
Dividing the terms, we get,
[tex]m=75[/tex]
Thus, the slope of the table is [tex]m=75[/tex]
The slope represents the rate of change of charges for repairing the car per hour.
