Question

Mr. Barnes hired a plumber to fix a leak. The total cost, in dollars, that the plumber charges for a job can be modeled by the function

p() = 45 +35x, where x represents the time, in hours, that the plumber used to complete the job.
Mr. Barnes budgeted $220 to pay the plumber for the job.
After how many hours will the cost of the job exceed Mr. Barnes's budget?

Answer 1

After 5 hours

Explanation:

Given

`p(x) = 45 + 35x`

Required

Determine what time the budget would exceed $220

To do this, we simply substitute 220 for p(x)

`220 = 45 + 35x`

`220 - 45 = 35x`

`175= 35x`

Solve for x

`x = 175/35`

`x = 5`

So, Mr. Barnes would exceed his budget after 5 hours