Section 8.2 Exponential Functions
783
Version: Fall 2007
8.2
Exercises
1.
The current population of Fortuna
is 10,000 hearty souls. It is known that
the population is growing at a rate of
4% per year. Assuming this rate remains
constant, perform each of the following
tasks.
a. Set up an equation that models the
population
P
(
t
) as a function of time
t
.
b. Use the model in the previous part to
predict the population 40 years from
now.
c. Use your calculator to sketch the graph
of the population over the next 40
years.
2.
The population of the town of Imag
ination currently numbers 12,000 people.
It is known that the population is grow
ing at a rate of 6% per year. Assuming
this rate remains constant, perform each
of the following tasks.
a. Set up an equation that models the
population
P
(
t
) as a function of time
t
.
b. Use the model in the previous part to
predict the population 30 years from
now.
c. Use your calculator to sketch the graph
of the population over the next 30
years.
3.
The population of the town of De
spairia currently numbers 15,000 individ
uals. It is known that the population is
decaying at a rate of 5% per year. As
suming this rate remains constant, per
form each of the following tasks.
Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/
1
a. Set up an equation that models the
population
P
(
t
) as a function of time
t
.
b. Use the model in the previous part to
predict the population 50 years from
now.
c. Use your calculator to sketch the graph
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 Exponential Function, Derivative, Complex number, ymax, Fortuna

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