A video store charges a monthly membership fee of $7.50, but the charge to rent each movie is only $

Discussion in 'Calculator Requests' started by math_celebrity, Sep 11, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A video store charges a monthly membership fee of $7.50, but the charge to rent each movie is only $1.00 per movie. Another store has no membership fee, but it costs $2.50 to rent each movie. How many movies need to be rented each month for the total fees to be the same from either company?

    Set up a cost function C(m) where m is the number of movies you rent:
    C(m) = Rental cost per movie * m + Membership Fee

    Video Store 1 cost function
    C(m) = 1m + 7.5

    Video Store 2 cost function:
    C(m) = 2.50m

    We want to know when the costs are the same. So we set each C(m) equal to each other:
    m + 7.5 = 2.50m

    To solve this equation for m, we type it in our search engine and we get:
    m = 5
     

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