Question

Rachaels swimming pool is being emptied by a pump. The amount of water in the pool W in gallons at any time t in hours is given by the equation W = 9000-250t. How long will it take to empty the pool?

Answer 1

To find out how long it will take to empty the pool, set the equation W = 9000 - 250t to zero and solve for t, which equals 36 hours.

Step-by-step explanation:

To determine how long it will take to empty Rachael's swimming pool, we need to set the equation W = 9000 - 250t equal to zero since we are looking for the time t when the pool will be completely empty (W = 0 gallons). So, we will solve the equation:

0 = 9000 - 250t

Adding 250t to both sides gives us:

250t = 9000

Now, divide both sides by 250 to solve for t:

t = 9000 / 250

t = 36 hours

Therefore, it will take 36 hours for the pump to empty the swimming pool.