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Question

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;

(b) find the cost of a service call that takes $2 \frac{1}{2} \mathrm{hr}$;

(c) determine the number of hours the job took if the charge came to $\$ 262.50$;

(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.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 6Represent the given data in the problem.

Let $c$ be cost of plumbing service and $t$ number of hours.

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