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

Answer:

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

Step-by-step 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

$=\frac{N_2-N_1}{t}$

now, we can plug values

$=\frac{2400-400}{5}$

$=\frac{2000}{5}$

$=400$

So,

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