Amy and ryan operate a car dealing and repair service. For a car detailing (full wash outside and in

Discussion in 'Calculator Requests' started by math_celebrity, Jul 9, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Amy and ryan operate a car dealing and repair service. For a car detailing (full wash outside and inside. Amy charges 40$ and Ryan charges 50$ . In addition they charge a hourly rate. Amy charges $35/h and ryan charges $30/h. How many hours does amy and ryan have to work to make the same amount of money?

    Set up the cost functions C(h) where h is the number of hours.

    Amy:
    C(h) = 35h + 40

    Ryan:
    C(h) = 30h + 50

    To make the same amount of money, we set both C(h) functions equal to each other:
    35h + 40 = 30h + 50

    To solve for h, we type this equation into our search engine and we get:
    h = 2
     

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