19.03.2023 - 13:47

A1 Plumbing Service charges $35 per hour plus a $25 travel charge for a service call. Good Guys Plumbing Repair charges $40 per hour for a service call with no travel charge. How long must a service call be for the two companies to charge the same amount?

Question:

A1 Plumbing Service charges $35 per hour plus a $25 travel charge for a service call. Good Guys Plumbing Repair charges $40 per hour for a service call with no travel charge. How long must a service call be for the two companies to charge the same amount?

Answers (1)
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    April 9, 2023 в 05:58

    To determine how long a service call must be for A1 Plumbing Service and Good Guys Plumbing Repair to charge the same amount, we can set their costs equal to each other.

    Let's assume that the service call duration is represented by x hours. Then, A1 Plumbing Service's cost for the service call would be:

    Cost for A1 Plumbing Service = 35x + 25

    And Good Guys Plumbing Repair's cost for the same service call would be:

    Cost for Good Guys Plumbing Repair = 40x

    To find the point at which the two costs are equal, we can set these equations equal to each other and solve for x:

    35x + 25 = 40x

    Subtracting 35x from both sides gives:

    25 = 5x

    Dividing both sides by 5 gives:

    x = 5

    Therefore, a service call would need to be 5 hours long for A1 Plumbing Service and Good Guys Plumbing Repair to charge the same amount. If the service call were less than 5 hours, A1 Plumbing Service would be cheaper, and if it were more than 5 hours, Good Guys Plumbing Repair would be cheaper.

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