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 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 = ___________

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

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

1. Linear growth
2. Growth modeled by a quadratic equation
3. Suppose that the amount that your town's population grows each year is fixed {or constant}.
4. Growth modeled by a radical equation
5. Population decline modeled by a rational equation
6. Use your equation to approximate the population in the year 2025.