Chapter 6, Problem 15PC

Population

In a population, the birth rate is the percentage increase of the population due to births, and the death rate is the percentage decrease of the population due to deaths. Write a program that asks for the following:

• The starting size of a population (minimum 2)
• The annual birth rate
• The annual death rate
• The number of years to display (minimum 1)

The program should then display the starting population and the projected population at the end of each year. It should use a function that calculates and returns the projected new size of the population after a year. The formula is

     $N=P\left(1+B\right)\left(1-D\right)$

• N is the new population size,
• P is the previous population size,
• B is the birth rate,
• and D is the death rate.

Annual birth rate and death rate are the typical number of births and deaths in a year per 1,000 people, expressed as a decimal. So, for example, if there are normally about 32 births and 26 deaths per 1,000 people in a given population, the birth rate would be .032 and the death rate would be .026.