Question

The table represents a linear relationship between the number of hours a computer repair takes and the total cost of the repair. What is the

slope of the line?
Hours, x
3
5
7
Total Cost, y
320
470
620

Answer 1

To find the slope of the line that represents the relationship between the number of hours and the total cost, we need to use the formula for the slope of a line:

slope = (change in y) / (change in x)

We can use the values in the table to calculate the change in y and change in x between any two points. Let's choose the first and second points, (3, 320) and (5, 470), respectively.

Change in y = 470 - 320 = 150
Change in x = 5 - 3 = 2

Therefore, the slope of the line is:

slope = (change in y) / (change in x) = 150 / 2 = 75

So the slope of the line is 75. We can interpret this as meaning that for every additional hour of repair time, the total cost of the repair increases by $75.