Rachael's backyard swimming pool is being emptied by a pump. The amount of what in the pool W in gallons at any time t in hours is given by the following equation: W=9,000 - 250t

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 to empty the pool? Explain

Since "t" represents the number of hours, and "-250" is being multiplied to "t', this means that 250 gallons are being pumped out each hour.

To find the amount of water left in the pool after 11 hours, replace" t" with 11:

W=9000-250 (11)

W=6250 gallons of water

Since the equation has a constant of "9000", this represents the starting amount of water.

Draining the pool means that the amount of water is zero, so set the equation equal to zero and solve for "t".

0=9000-250t

250t=9000

t=36 hours to empty the pool