The populations P (in thousands) of Antioch, California, from 2006 through 2012 can be
Chapter 4, Problem 35(choose chapter or problem)
The populations P (in thousands) of Antioch, California, from 2006 through 2012 can be modeled by \(P=90 e^{0.013 t}\), where t is the year, with t = 6 corresponding to 2006. (Source: U.S. Census Bureau)
(a) According to the model, was the population of Antioch increasing or decreasing from 2006 through 2012? Explain your reasoning.
(b) What were the populations of Antioch in 2006, 2009, and 2012?
(c) According to the model, when will the population of Antioch be approximately 116,000?
Text Transcription:
P = 90e^0.013t
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