SOLUTION: A pool can hold 3000 gallons of water, and it is being filled at a rate of 40 gallons per hour. The pool currently has 200 gallons in it. a) Write a linear equation which repres

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Question 981604: A pool can hold 3000 gallons of water, and it is being filled at a rate of 40 gallons per hour. The pool currently has 200 gallons in it.
a) Write a linear equation which represents number of gallons in the pool.
b) How long will it take to finish filling the pool?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A pool can hold 3000 gallons of water, and it is being filled at a rate of 40 gallons per hour. The pool currently has 200 gallons in it.
a) Write a linear equation which represents number of gallons in the pool.
At time = 0, the number of gallons is 200; that is the y-intercept
Each hour the volume of the pool goes up 40 gallons; that is the slope
V(t) = 40t+200
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b) How long will it take to finish filling the pool?
Solve:: 40t+200 = 3000
40t = 3800
t = 95 hours
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Cheers,
Stan H.
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