Question

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

Answer 1

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.