Assume that a country, in year 5, has a population level, P, of 14 380 individuals. The country's population has been growing at a constant yearly rate of 2.4%. a) Find the country's initial population size, assuming that we are dealing with discrete time. Then, determine the initial population size assuming continuous time. (You must show all your work!) Are the two initial population sizes similar? Why or why not? b) Now, assume that g is actually 5% and that the initial population level was, in fact, 10,000. Using the Rule of 70, graph the population growth on a ratio scale for the time periods, t= 0, 7, 14, and 28. Label your graph. Please upload your answer as ONE file (document or picture files are acceptable).
Assume that a country, in year 5, has a population level, P, of 14 380 individuals. The country's population has been growing at a constant yearly rate of 2.4%. a) Find the country's initial population size, assuming that we are dealing with discrete time. Then, determine the initial population size assuming continuous time. (You must show all your work!) Are the two initial population sizes similar? Why or why not? b) Now, assume that g is actually 5% and that the initial population level was, in fact, 10,000. Using the Rule of 70, graph the population growth on a ratio scale for the time periods, t= 0, 7, 14, and 28. Label your graph. Please upload your answer as ONE file (document or picture files are acceptable).
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:Assume that a country, in year 5, has a population level, P, of 14 380 individuals. The country's population has
been growing at a constant yearly rate of 2.4%.
a) Find the country's initial population size, assuming that we are dealing with discrete time. Then, determine
the initial population size assuming continuous time. (You must show all your work!) Are the two initial
population sizes similar? Why or why not?
b) Now, assume that g is actually 5% and that the initial population level was, in fact, 10,000. Using the Rule
of 70, graph the population growth on a ratio scale for the time periods, t = 0, 7, 14, and 28. Label your graph.
Please upload your answer as ONE file (document or picture files are acceptable).
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