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a single pump is filling a storage container with water at a rate of 60 gallons per minute. after 30 minutes, an additional pump turns on and the container begins to fill at a total rate of 130 gallons per minute for an additional 30 mins. the container already had 1500 gallons of water when it began to be filled a) create a graph showing the amount of water the tank contains for the first 60 minutes b) write a piecewise defined functions for the volume, V, as a function of time, t, measured in minutes

Answer :

[tex]\begin{gathered} V\text{ = }\begin{cases}1500\text{ + 60 t; }0\text{ }\leq\text{ t }\leq\text{ }30 \\ 130t\text{ - 600; }30\text{ }<\text{ t }\leq\text{ 60}\end{cases}\text{ } \\ \end{gathered}[/tex]

Now we graph the piecewise defined function:

View image MIKAYLAC298183

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