Assume that a country initially has a population level, P, of 13,181 individuals. By the fifth year, the population reaches 20,000.

a) Find the population growth rate, g, assuming that we are dealing with discrete time. Then, determine the population growth rate assuming continuous time. (You must show all your work!) Are the two growth rates similar? Why or why not?

b) Now, assume that g is actually 10% and that the initial population level was, in fact, 13,000. Using the Rule of 70, graph the population growth on a ratio scale for the time periods, t = 0, 7, 14, and 21. Label your graph.