Question

Robert is in charge of a community swimming pool. Each sprig he drains it in order to clean it. Then he refills the pool, which holds 120,000 gallons of water. Robert fills the pool at a rate of 10 gallons each minute. What is the rate at which Robert will fill the pool? Is it constant? Write an equation for the direct variation.

Answer 1

It is constant (10 gallons a minute)

120,000/10 = 12,000

12,000 minutes to fill the pool

120,000 - 10x

Explanation:

Answer 2

The pool holds 120,000 gallons of water.

Robert fills the pool at a rate of 10 gallons each minute.

That means for filling 120000 gallons, he will need =
`(120000)/(10)` = 12000 minutes

If we convert this to hour, then in 1 hour,
`10*60` = 600 gallons can be filled.

So, the rate in gallons per hour =
`(120000)/(600)` = 200 gallons per hour.

Therefore, the rate at which Robert will fill the pool is 200 gallons per hour.

Yes the rate is constant.