Our family has a small pool for relaxing in the summer that holds 1500 gallons of water. I
decided to fill the pool for the summer. When I had 5 gallons of water in the pool, I decided
that I didn't want to stand outside and watch the pool fill, so I wanted to figure out how
long it would take so that I could leave, but come back to turn off the water at the right
time. I checked the flow on the hose and found that it was filling the pool at a rate of 2
gallons every 5 minutes. How many gallons of water will be in the pool after 50 minutes?
How many minutes will it take to fill the pool? Justify your answer with a mathematical
model of the problem situation.