algebra 1

The Zepeda family filled the gasoline tank of their minivan at the beginning of a long trip. The relationship between the number of miles driven and the number of gallons remaining in the tank can be modeled with a linear function. When they had driven 120 miles, there were 18 gallons of gasoline in the tank. When they had driven 300 miles, only 6 gallons were left in the tank. How many miles could the Zepedas drive before running out of gasoline?

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  1. If we model the situation as

    y = mx+b

    then we have

    120m+b = 18
    300m+b = 6
    Subtract to get
    -180m = 12
    m = -1/15
    So, b = 26

    y = -1/15 x + 26

    y=0 when x = 390

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