Algebra Project : Population Growth (Exponential and Radical Equation)
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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:
Answer:
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Solution Summary
Population growth is explained.
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