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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?