Question: Your group will develop four different population scenarios for a town. As a group, you will decide on the name of the town & the initial population. You will graph the function for each population scenario & use your model to make some decisions about the population. 

 [A] Decide on a name of a rural town.  Name of town:  _______________

 [B] Decide on an initial population, P0, of the town in the year 2010. Choose an initial population between 1000-5000. Use this value of P0 for each of the scenarios.   P0 = ___________

 [C] You will investigate four different scenarios of population growth or decline in this town.

Linear growth

1. Growth modeled by a quadratic equation
2. Growth modeled by a radical equation
3. Population decline modeled by a rational equation
4. Suppose that the amount that your town's population grows each year is fixed (or constant).
5. Apply your equation to approximate how many years it will take the population to reach 12,000.