A plumber charges $75 for a service call and $95 for any additional hours. Write a linear model to reflect the plumber's charges and use the equation to determine the cost of a 3-hour service call.

Answer 1

A plumber charges $75 for a service call and $95 for any additional hours. Write a linear model to reflect the plumber's charges and use the equation to determine the cost of a 3-hour service call.

Answer:

We do not know the actual time allotted for an initial service call. So let's call the standard service call length s. So the additional hours, a, to be the total hours, h minus the standard service call length, s. So:

a=h-s

C(h) = 75 +95a or C(h) = 75 + 95(h-s)

So C(3) = 75 + 95(3-s)

Answer 2

C(h) = 75 + 95h

Can you calculate for h = 3 and answer?