Question

At 6:00 AM there where 400 gallons of water in the pool.At 11:00 AM there were 2400 gallons of water in the pool. What is the rate of change of water in the pool?

Answer 1

The rate of change of water in the pool is 400 gallons / hour

Explanation:

We are given

At 6:00 AM:

there were 400 gallons of water in the pool

so,

`N_1=400`

At 11:00 AM:

there were 2400 gallons of water in the pool

so,

`N_2=2400`

now, we can find time between

t=11-6=5 hours

now, we can use formula

rate of change of water in pool is

=( change in water quantity)/( total time)

so, we get

`=(N_2-N_1)/(t)`

now, we can plug values

`=(2400-400)/(5)`

`=(2000)/(5)`

`=400`

So,

The rate of change of water in the pool is 400 gallons / hour