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23 October, 08:19

Kyle is filling a 25-gallon gas tank at a rate of 10 gallons per minute. What is the domain of the function that represents the volume of gas y in the tank after x minutes?

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  1. 23 October, 08:29
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    The function that represents the amount of gas in the gas tank is:

    y (m) = 10*m

    where m is in minutes, and the gallon will be filled when y (m) = 25

    25 = 10*m

    x = 25/10 = 2.5

    so the gas tank will be filled in 2.5 minutes

    Then if the tank is completely empty, the domain is {0m, 2.5m}

    Now, if the tank is filled by x minutes, the domain will be {x, 2.5}

    And we must have that x is a number between 0 and 2.5
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