A taxi cab in Chicago charges $3 per mile and $1 for every person. If the taxi cab ride for two peop

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

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A taxi cab in Chicago charges $3 per mile and $1 for every person. If the taxi cab ride for two people costs $20. How far did the taxi cab travel.

    Set up a cost function C(m) where m is the number of miles driven:
    C(m) = cost per mile * m + per person fee

    Calculate per person fee:
    per person fee = $1 per person * 2 people
    per person fee = $2

    With a cost per mile of $3 and per person fee of $2, we have:
    C(m) = cost per mile * m + per person fee
    C(m) = 3m + 2

    The problem asks for m when C(m) = 20, so we set 3m + 2 equal to 20:
    3m + 2 = 20

    To solve this equation for m, we plug it in our search engine and we get:
    m = 6
     

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