Final answer:
To determine the time needed to fill a pool with 9000 gallons of water at a rate of 15 gallons per minute, you would calculate 9000 gallons divided by 15 gallons per minute, resulting in 600 minutes or 10 hours.
Step-by-step explanation:
If a pool fills up with 750 gallons of water in 50 minutes, we want to find out how long it will take to fill up to 9000 gallons. To solve this, we calculate the filling rate and then use it to estimate the filling time for 9000 gallons.
First, we find the rate, which is the volume of water divided by the time it takes to reach that volume. The rate is 750 gallons / 50 minutes = 15 gallons per minute. Now, to fill 9000 gallons, we take the total volume needed and divide it by the rate:
9000 gallons / 15 gallons per minute = 600 minutes.
To provide context to the student, let's convert the time from minutes to hours. There are 60 minutes in an hour, so:
600 minutes / 60 = 10 hours.
Therefore, it will take 10 hours to fill a pool with 9000 gallons of water at a rate of 15 gallons per minute.