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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?

Respuesta :

Answer:

After 5 hours

Step-by-step explanation:

Given

[tex]p(x) = 45 + 35x[/tex]

Required

Determine what time the budget would exceed $220

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

[tex]220 = 45 + 35x[/tex]

[tex]220 - 45 = 35x[/tex]

[tex]175= 35x[/tex]

Solve for x

[tex]x = 175/35[/tex]

[tex]x = 5[/tex]

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