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

1) Decide on a name of a rural town.

2) Decide on an initial population, , of the town in the year 2010. Choose an initial population between 1000–5000. Use this value of for each of the scenarios.

3) You will investigate four different scenarios of population growth or decline in this town.

• Linear growth

• Growth modeled by a quadratic equation

• Growth modeled by a radical equation

• Population decline modeled by a rational equation

I. Linear Growth:

Suppose that the town has a fixed increase in population growth number of population increase each year.

Choose the amoun