32. Population The population P (in thousands) of Tallahassee, Florida, from 2000 through 2014 can be modeled by P = 150.9ek', where t represents the year, with t= 0 corresponding to 2000. In 2005, the population of Tallahassee was about 163,075. (Source: U.S. Census Bureau) (a) Find the value of k. Is the population increasing or decreasing? Explain. (b) Use the model to predict the populations of Tallahassee in 2020 and 2025. Are the results reasonable? Explain. (c) According to the model, during what year will the population reach 200,000?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 55E
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Number #32

aic Functions
nds) of
h 2014
the website has been operating. In the websiteonths
month, there were 10,000 hits. Find the value e third
%3D
ding to
will receive after 24 months.
32. Population The population _P (in thousande
can
Tallahassee, Florida, from 2000 through 2014
%3D
year, with t= 0 corresponding to 2000. In 2005
the population of Tallahassee was about 163.075
(Source: U.S. Census Bureau)
(a) Find the value of k. Is the population increasing or
decreasing? Explain.
(b) Use the model to predict the populations of
Tallahassee in 2020 and 2025. Are the results
reasonable? Explain.
(c) According to the model, during what year will the
population reach 200,000?
erm
33. Bacteria Growth The number of bacteria in a
growth. After 3 hours there are 100 bacteria, and alte
ST
there be after 6 hours?
34. Bacteria Growth The number of bacteria
culture is increasing according to the law of exponente
population after 10 houre
after
Transcribed Image Text:aic Functions nds) of h 2014 the website has been operating. In the websiteonths month, there were 10,000 hits. Find the value e third %3D ding to will receive after 24 months. 32. Population The population _P (in thousande can Tallahassee, Florida, from 2000 through 2014 %3D year, with t= 0 corresponding to 2000. In 2005 the population of Tallahassee was about 163.075 (Source: U.S. Census Bureau) (a) Find the value of k. Is the population increasing or decreasing? Explain. (b) Use the model to predict the populations of Tallahassee in 2020 and 2025. Are the results reasonable? Explain. (c) According to the model, during what year will the population reach 200,000? erm 33. Bacteria Growth The number of bacteria in a growth. After 3 hours there are 100 bacteria, and alte ST there be after 6 hours? 34. Bacteria Growth The number of bacteria culture is increasing according to the law of exponente population after 10 houre after
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