Graph the model and investigate by four different growth models.
A group will develop four different population scenarios for a town. As a group, decide on name of the town and the initial population. Graph the function for each population scenario and use the model to make some decisions about the population.

1) Decide on a name of a rural town. Name of town: ________________

2) 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 = _____________

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