Final answer:
The rate of change of the population with respect to time in this small town is 200.
Step-by-step explanation:
The rate of change of the population of this small town with respect to time can be determined by dividing the change in population by the change in time. Since the town's size doubles every 10 years, we can calculate the rate of change by dividing the change in population (doubling) by the change in time (10 years).
Therefore, the rate of change of the population with respect to time is 200, which is option C.