2. POPULATION GROWTH The populations P (in thousands) of Orlando, Florida from 2000 through 2007 can be modeled by P = 1656.2ekt where t represents the year, with t =0 corresponding to 2000. In 2005, the population of Orlando was about 1,940,000. (Source: U.S. Census Bureau) (a) Find the value of k. Is the population increasing or decreasing? Explain. (b) Use the model to find the populations of Orlando in 2010 and 2015. Are the results reasonable? Explain. (c) According to the model, during what year will the population reach 2.2 million?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 32E
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Estimate population growth, show work. (Precalculus 1)

2. POPULATION GROWTH
The populations P (in thousands) of Orlando, Florida from 2000 through 2007 can be modeled by
P = 1656.2ekt
where t represents the year, with t=0 corresponding to 2000.
In 2005, the population of Orlando was about 1,940,000. (Source: U.S. Census Bureau)
(a) Find the value of k. Is the population increasing or decreasing? Explain.
(b) Use the model to find the populations of Orlando in 2010 and 2015. Are the results reasonable?
Explain.
(c) According to the model, during what year will the population reach 2.2 million?
Transcribed Image Text:2. POPULATION GROWTH The populations P (in thousands) of Orlando, Florida from 2000 through 2007 can be modeled by P = 1656.2ekt where t represents the year, with t=0 corresponding to 2000. In 2005, the population of Orlando was about 1,940,000. (Source: U.S. Census Bureau) (a) Find the value of k. Is the population increasing or decreasing? Explain. (b) Use the model to find the populations of Orlando in 2010 and 2015. Are the results reasonable? Explain. (c) According to the model, during what year will the population reach 2.2 million?
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