Rachael's backyard swimming pool is being emptied by a pump. The amount of water in the pool (\(W\), measured in gallons) at any time (\(t\), measured in hours) is given by the following equation:
\[W = -250t + 9000\]
a. How many gallons of water are being pumped out each hour? Explain.
b. After 11 hours, how much water is left in the pool? Explain.
c. How much water was in the pool at the start? Explain.
d. How long will it take the pool to empty? Explain.
Answer (2)
a. The rate at which **water **is being pumped out each hour is 250 gallons. b. After 11 hours, 6750 gallons of water are left in the pool. c. At the start, there were 9000 gallons of water in the pool. d. It will take 36 hours for the pool to empty. ;
The pool pumps out water at a rate of 250 gallons per hour, leaving 6250 gallons after 11 hours. Initially, there were 9000 gallons in the pool, and it will take a total of 36 hours to empty the pool completely.
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