- Explain in your own words the difference(s) between an exponential growth model and a logistic growth model.
- The U.S. Census data from 1790 through 1940 was roughly logistic. What happened after that to interrupt this pattern?
- Explain in your own words the meanings of the parameters
**r**and**K**in the logistic differential equation

- Sometimes the graph of the solution of a logistic equation has an inflection point. How is the location of this inflection point related to
**K**? What is the significance of the inflection point in terms of population growth rate? - Suppose a population has a logistic growth rate and the starting population is greater than the carrying capacity. What would you predict about the future of the population? Why?
- In our second attempt at fitting parameters to the U.S. population data (Part 7), we had the advantage of starting with a good estimate of
**K**, the maximum supportable population -- but only because we did the fit in Part 6 first. Suppose you had only a plot of the data, as in the figure below. How would you estimate**K**from this plot? Would your estimate be close to the final value of**K**you chose in Part 7? Explain.

Journal of Online Mathematics and its Applications