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An empty 16 gallon tank is being filled with gasoline at a rate of 2 gallons per minute. State the Domain and Range using interval notation or set notation

User Alseether
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1 Answer

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The volume of gasoline in the tank as a function of time can be determined as,


V=2t

The time taken to fill the tank can be determined as,


\begin{gathered} 16=2t \\ t=8 \end{gathered}

Thus, the requried domain is,


t\in\lbrack0,8\rbrack

The range of the function can be determined as,


V\in\lbrack0,16\rbrack

Thus, the above expressions gives the required domain and range of the function.

User Jvi
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