This model addresses the following problem:
You have a physical container with two substances, say water and salt. You know the expression which governs the flow of water out of the container, and need to work out the rate at which salt flows out.
Assuming that the salt in the outflow is at the same concentration as the salt in the container, the answer is to work out the salt concentration in the container, then use this, along with the water outflow, to calculate the rate of salt outflow.