Bike rental shop A charges $20 per kilometre travelled with no additional fee. Bike rental shop B ch

Discussion in 'Calculator Requests' started by math_celebrity, Jan 10, 2022.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Bike rental shop A charges $20 per kilometre travelled with no additional fee. Bike rental shop B charges only $8 per kilometre travelled, but has a starting charge of $35. If Bob plans to travel 7km by bike, which rental shop should he choose for a better price

    Shop A Cost function C(k) where k is the number of kilometers used
    C(k) = Cost per kilometer * k + Starting Charge
    C(k) = 20k

    With k = 7, we have:
    C(7) = 20 * 7
    C(7) = 140

    Shop B Cost function C(k) where k is the number of kilometers used
    C(k) = Cost per kilometer * k + Starting Charge
    C(k) = 8k + 35

    With k = 7, we have:
    C(7) = 8 * 7 + 35
    C(7) = 56 + 35
    C(7) = 91

    Bog should choose Shop B since they have the better price for 7km
     

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