A Pump Is Used to Empty a 350-Gallon Hot Tub $$\begin{array} { l l l l l l l } T & 0 & 15 & 30 & 45 & 60 & 90 \\W ( t ) & 350 & 320 & 280 & 225 & 170 & 105\end{array}$$

Multiple Choice

A pump is used to empty a 350-gallon hot tub. The table shows the amount of water, W(t) , measured in gallons, remaining in the hot tub at time t, measured in minutes after the pump is turned on. $$\begin{array} { l l l l l l l } T & 0 & 15 & 30 & 45 & 60 & 90 \\W ( t ) & 350 & 320 & 280 & 225 & 170 & 105\end{array}$$ Approximate W'(30) in this context.

A) Water is draining at a rate of 28/3 gallons per minute when the pump has been operating for 30 minutes.
B) Forty gallons of water have been removed from the hot tub in 15 minutes of time.
C) There are 280 gallons of water in the hot tub 30 minutes after the pump is turned on.
D) Water is draining from the hot tub at a rate of 8/3 gallons per minute when the pump has been operating for 30 minutes.
E) Water is draining from the hot tub at a rate of 280 gallons per half-hour.