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).

Answer:

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.

Answer:
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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MTH133
Unit 4 Group Project - A
Name:
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) 1) De

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A town has a initial population of 2000 andPopulationGrowth each year of 100.
Suppose instead that the town experiences growth that can be m

III. Growth Modeled by a Radical Equation: (See attached file)
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 o

9. The rate of change of the population of a town in Pennsylvania at any time t is proportional to the population at that time. Four years ago, the population was 25,000. Now, the population is 36,000. Calculate what the population will be six years from now.
A. 43,200 B. 52,500 C. 62,208
D. 77,760 E. 89,580

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