<PRE><B>Question 174548</B>
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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