Question

The total cost of hiring paul the plumber is a function of the required number of hours needed to complete the repair. Paul charges $40 per hour up to maximum of 8 hours, plus a $75 service charge what is the greatest value in the range for this situation

Answer 1

Paul surely charges 75 dollars, and then he adds 40 dollars per hours. This means that the expression for the money he asks is

`m = 75+40h`

where
`m` is the amount of money and
`h` is the number of hours.

Since
`h` can be at most 8, this is the case that generates the highest money, so if we plug
`h=8` we have

`m = 75+40\cdot 8 = 75 + 320 = 395`