You can get 2 different moving companies to help you move. The first one charges $150 up front then

Discussion in 'Calculator Requests' started by math_celebrity, Oct 20, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    You can get 2 different moving companies to help you move. The first one charges $150 up front then $38 an hour. The second one charges $230 then $30 an hour, at what exact time will Both companies cost the same

    Company 1: We set up the cost equation C(h) where h is the number of hours
    C(h) = Hourly Rate * h + up front charge
    C(h) = 38h + 150

    Company 2: We set up the cost equation C(h) where h is the number of hours
    C(h) = Hourly Rate * h + up front charge
    C(h) = 30h + 230

    The question asks for h when both cost equations C(h) are equal. So we set both C(h) equations equal to other:
    38h + 150 = 30h + 230

    To solve for h, we type this equation into our search engine and we get:
    h = 10
     

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