# Question #a819f

Sep 26, 2017

$0.2$ gallons per minute

#### Explanation:

Since the container is leaking at a constant rate and we know what the initial volume and final volume is, we can then find the change in volume.

$\Delta V = {V}_{\text{final" -V_"intial}}$.
$\Delta V = 3$gal$- 5$gal.
$\Delta V = - 2$gal

The negative symbol indicates that the volume of water is getting less.

Now we also know the time it takes to leak 2 gallons which is 10 minutes.

The rate is simply $\frac{\delta V}{\delta t}$

So our $\delta t$ is 10 minutes

Substituting the values into the rate equation

$\frac{2}{10}$ gallons per minute
or
$0.2$ gallons per minute