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 charge 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 of the table.

The slope can be determined using the formula,

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

From the table, we have the coordinates (0,15), (2,165), (4,315) and (6,465)

Let us substitute any coordinates in the slope formula.

Substituting the coordinates (0,15) and (4,315) in the slope formula, we get,

$m=\frac{315-15}{4-0}$

Simplifying the terms, we get,

$m=\frac{300}{4}$

Dividing by 4, we have,

$m=75$

Thus, the slope of the table is 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