Question

A 21,000 gallon swimming pool contains 9000 gallons of water when a hose is placed into the pool and begins adding water at a rate of 1500 gallons per hour.   Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed into the pool until it is full.

Answer 1

It will take 8 more hours to fill the pool completely

Answer 2

It would take 8 hours to reach the maximum capacity of the swimming pool.

Explanation:

We know that:

• Pool's capacity is 21,000 gallons.
• Already contains 9,000 gallons of water.
• The hose is adding water at a rate of 1500 gallons per hour.

So, the pools needs 12,000 gallons more to be full. So, to solve the problem we could apply the rule of three. If 1500 gallons takes 1 hour, how much time would take 12,000 gallons:

`12,000 \ gallons(1 \ hour)/(1500 \ gallons)=8 \ hours`

So, using a linear model, it would take 8 hours to reach the maximum capacity of the swimming pool.