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# Algebra Project : Population Growth (Exponential and Radical Equation)

MTH133
Unit 4 Group Project - A

Name:

Your group will develop a population scenario 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 the population scenario.

1) 1) Decide on a name of a rural town. Name of 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. P0 =________
3) You will investigate the population growth or decline in this town.

SPECIAL HINT -
NAME OF TOWN= freedom
POPULATION = 2400
RATE OF POP. GROWTH=200.

III. Growth Modeled by a Radical Equation:

Suppose instead that the town experiences growth that can be modeled by the following: where t is the number of years from 2010.

a) Insert the value of that your group has decided upon into the equation above. Use the Equation Editor or type square root of t as sqrt(t).

b) Fill in the following chart. Round to the nearest whole person when necessary.

Year (t) Population (P)

t = 0
(2010) _______

t = 1
(2011)
t = 2
(2012)
t = 3
(2013)
t = 6
(2016)

c) Use your equation from part a to approximate how many years it would take for the population to reach 7000. Round to the nearest whole year when necessary.