A house painting company charges $376 plus $12 per hour. Another painting company charges $280 plus

Discussion in 'Calculator Requests' started by math_celebrity, Sep 5, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A house painting company charges $376 plus $12 per hour. Another painting company charges $280 plus $15 per hour. How long is a job for which companies will charge the same amount?

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

    Company 1:
    C(h) = 12h + 376

    Company 2:
    C(h) = 15h + 280

    To see when the companies charge the same amount, set both C(h) functions equal to each other.
    12h + 376 = 15h + 280

    To solve for h, we type this equation into our search engine and we get:
    h = 32
     

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