Question

A car repair company charges a $15 fee for evaluation plus a rate for any services required. What is the slope of the table, and what does the slope represent?

Hours 0 2 4 6
charges 15 165 315 465

Answer 1

75, hourly rate

Step-by-step explanation:

Slope: (165-15)/(2-0)

= 150/2

= 75

Slope is $75/hour

Answer 2

The slope of the table is $75 and the slope represents the rate of change of charges for repairing the car per hour.

Step-by-step 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=(y_2-y_1)/(x_2-x_1)`

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=(165-15)/(2-0)`

Simplifying the terms, we have,

`m=(150)/(2)`

Dividing the terms, we get,

`m=75`

Thus, the slope of the table is
`m=75`

The slope represents the rate of change of charges for repairing the car per hour.