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Algebra Project : Population Growth (Exponential and Radical Equation)

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Unit 4 Group Project - A


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.

NAME OF TOWN= freedom

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
t = 2
t = 3
t = 6

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.

Show your work here:

d) Graph this function in MS Excel by plotting the points found in your chart in part b. Label your axes with time on the x-axis and population on the y-axis. Copy and paste your graph here:


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Solution Summary

Population growth is explained.

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