The populations P (in thousands) of Pineville, North Carolina, from 2006 through 2012

Chapter 4, Problem 38

(choose chapter or problem)

The populations P (in thousands) of Pineville, North Carolina, from 2006 through 2012 can be modeled by \(P=5.4 e^{k t}\), where t is the year, with t = 6 corresponding to 2006. In 2008, the population was 7000. (Source: U.S. Census Bureau)

(a) Find the value of k for the model. Round your result to four decimal places.

(b) Use your model to predict the population in 2018.

Text Transcription:

P = 5.4e^kt

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