Group Project College Algebra

MTH133

Unit 4 Group Project

Name: Justin Smith/ Pamela Thompson/ John Nixon/ Brian White

Town of: Disappearance

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 5,000–10,000. 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 amount that your town’s population grows each year is fixed (or constant).

Choose the amount of population growth each year = __600__

(Hint: Choose a whole number for your growth rate, rather than a percent.)

Click in this box and type the name(s) of the student(s) who uploaded this problem (I) and who checked it for accuracy.

Done by: Pamela Thompson

Checked by: Justin Smith

Click in this box and type the name(s) of the student(s) who uploaded this problem (I) and who checked it for accuracy.

Done by: Pamela Thompson

Checked by: Justin Smith

a) Fill in the following chart:

Year (t) | Population (P) |

t = 0(2010) | 7,000 |

t = 1(2011) | P= 7,600 |

t = 2(2012) | P= 8,200 |

t = 3(2013) | P= 8,800 |

t = 6(2016) | P= 10,600 |

b) Find a linear equation in the form P = mt + b (y = mx + b), which gives the population, P, t years from 2010.

Answer: Answer:=mx+b p=rt+p

Show your work here: p=600t+7000

c) Use your equation in part b to approximate the population in the year 2020.

Answer: 13,000

Show your work...