A tow truck charges a service fee of $50 and an additional fee of $1.75 per mile. What distance was

Discussion in 'Calculator Requests' started by math_celebrity, Oct 21, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A tow truck charges a service fee of $50 and an additional fee of $1.75 per mile. What distance was Marcos car towed if he received a bill for $71

    Set up a cost equation C(m) where m is the number of miles:
    C(m) = Cost per mile * m + Service Fee

    Plugging in the service fee of 50 and cost per mile of 1.75, we get:
    C(m) = 1.75m + 50

    The question asks for what m is C(m) = 71. So we set C(m) = 71 and solve for m:
    1.75m + 50 = 71

    Solve for m in the equation 1.75m + 50 = 71

    Step 1: Group constants:
    We need to group our constants 50 and 71. To do that, we subtract 50 from both sides
    1.75m + 50 - 50 = 71 - 50

    Step 2: Cancel 50 on the left side:
    1.75m = 21

    Step 3: Divide each side of the equation by 1.75
    1.75m/1.75 = 21/1.75
    m = 12
     

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