1. From approximately 500 B. C. to 80 A. D., the Roman Empire expanded their control of the Italian peninsula. By 44 B. C. the Romans power had expanded to Spain, Macedonia, Asia Minor, Gaul,
North Africa and Greece. According to census records, the population, P in Rome in 500 B. C.E was
only about 310,000. With the expansion of the empire, the population increased at a rate of 85% per
year.
a. Write a function that can be used to determine the population after t years. State and explain the
meaning of the values used to create the function in the context of the question.