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20 March, 13:43

Trans truck get very poor gas mileage. if Tran pays $84 to fill his truck with gas and is able to drive m miles on a full tank, what expression shows his gas cost per mile? What operation does "per" indicate? Check your expression by substituting 200 miles for m. Does your answer make sense?

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  1. 20 March, 17:19
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    Money paid by Trans to completely fill his truck's gas tank = $84

    Miles traveled by Trans' truck on full tank = m miles

    Part A (Expression to show gas cost per mile)

    Total Cost = (Gas Cost per Mile) * (Number of Miles)

    ⇒ 84 = (Gas Cost per Mile) * m

    ⇒ Gas Cost per Mile = 84 / m

    Part B (Meaning of per)

    In Gas Cost per Mile, the word 'per' indicates the division (:) operation.

    Part C (Substitute 200 miles for m)

    Substituting 200 for m in the expression, we get:

    Gas Cost per Mile = 84 : 200

    ⇒ Gas Cost per Mile = $ 0.42

    This indicates that to travel 1 mile, Trans needs to spend $0.42
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