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.

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

If the rate at which the swimming pool is filling is 1500 gallons per hour, and the pool has already 9000 gallons full, then;

Amount to be filled is 21,000 – 9,000 = 12, 0000

To fill the 12,000 gallons;

12,000/1500 = 8 hours

If the filling of the pool begins at 12.00 AM, then the pool will fill at 8.00 AM

Answer 2

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.

The graph represents this :

The slope m = 1500 gal/h

The y intercept b = 9000 gal

So the equation of the line y = 1500x + 9000