An interior designer charges $100 to visit a site, plus $55 to design each room. Identify a function

Discussion in 'Calculator Requests' started by math_celebrity, Sep 3, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    An interior designer charges $100 to visit a site, plus $55 to design each room. Identify a function that represents the total amount he charges for designing a certain number of rooms. What is the value of the function for an input of 6, and what does it represent?

    Set up the cost function C(r) where r is the number of room to design:
    C(r) = Cost per room * r + Site Visit Fee
    C(r) = 55r + 100

    Now, the problem asks for an input of 6, which is the number of rooms. So we want C(6) which is the cost to design 6 rooms:
    C(6) = 55(6) + 100
    C(6) = 330 + 100
    C(6) = 430
     

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