Question

The fee for a service call from a plumber can be modeled with the function C(h)= 75 + 20h, where C is the total cost of the service call and h is the number of hours the plumber spends working on the problem. (MAFS.912.F-IF.1.2) A. How much does the plumber charge per hour? 3. What is the value of C(3)? 1. What does this represent in terms of the problem?​

Answer 1

20 ; $135 ; service charge for 3 hours spent is $135

Explanation:

Given that :

Service fee equation model :

C(h)= 75 + 20h

C = total cost of the service call

h = number of hours the plumber spends working on the problem

The charge per hour is the gradient or slope of the linear equation. From the equation, the slope is of the equation is related to bx from. The general form of a linear equation where b = gradient or slope(charge per hour) and x = number of hours

bx = 20h

b = 20

Charge per hour = 20

C(3) = 75 + 20(3)

75 + 60 = 135

This means that total service call charge for a plumber who spends three hours fixing a problem is $135