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

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,

$m=\frac{y_2-y_1}{x_2-x_1}$

From the table, we shall consider the coordinates (0,15) and (2,165)

Let us substitute these two points in the formula, we get,

$m=\frac{165-15}{2-0}$

Simplifying the terms, we have,

$m=\frac{150}{2}$

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.

Answer 2

Answer:

75, hourly rate

Step-by-step explanation:

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

= 150/2

= 75

Slope is $75/hour