SOLUTION: Suppose you turn on a pump and let it run to empty the water out of a pool. The amount of water in the pool(W, measured in gallons) at any time (T, measured in hours) is given by t
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Question 174548: Suppose you turn on a pump and let it run to empty the water out of a pool. The amount of water in the pool(W, measured in gallons) at any time (T, measured in hours) is given by the following equation: W=-350(T-4).
a) How many gallons of water are being pumped out each hour?
b) How much water was in the pool when the pumping started?
c) How long will it take for the pump to empty the pool completely?
d) Write an equation that is equivalent to W=-350(T-4). What does this second equation tell you about the situation?
e) Describe what the graph of the relationship between W and T looks like. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Suppose you turn on a pump and let it run to empty the water out of a pool. The amount of water in the pool(W, measured in gallons) at any time (T, measured in hours) is given by the following equation: W=-350(T-4).
a) How many gallons of water are being pumped out each hour?
Ans: That would be the slope: 350 gallons per hour
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b) How much water was in the pool when the pumping started?
Ans: that would be W(0) = -350(0-4) = 1400 gallons
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c) How long will it take for the pump to empty the pool completely?
Ans: Let W(T) = 0 and solve for T:
T = 4
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d) Write an equation that is equivalent to W=-350(T-4). What does this second equation tell you about the situation?
W(T) = -300T + 1400
The function is linear with slope = -350 and intercept = 1400
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e) Describe what the graph of the relationship between W and T looks like.
Ans: A line with slope = -350 and intercept equal to 1400.
Cheers,
Stan H.
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