Cost of a service call: Paul’s Plumbing charges a flat fee of $50 per service call plus an...

Cost of a service call: Paul’s Plumbing charges a flat fee of $50 per service call plus an hourly rate of $42.50. This means that cost is a function of the hours the job takes to complete plus the flat fee.

(a) Write this relationship in equation form;

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(b) find the cost of a service call that takes hr;

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(c) find the number of hours the job took if the charge came to $262.50; and (d) determine the domain and range of the function in this context, if your insurance company has agreed to pay for all charges over $500 for the service call.