The populations P (in thousands) of a certain town in North Carolina, from 2006 through 2012 can be modeled by P = 4.2ekt, where t is the year, with t = 6 corresponding to 2006. In 2008, the population was 9000. (a) Find the value of k for the model. Round your result to four decimal places. k = 0.9587 x (b) Use your model to predict the population in 2018. (Round your answer to the nearest person.) X people 131128003

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The populations P (in thousands) of a certain town in North Carolina, from 2006 through 2012 can be modeled by P = 4.2ekt, where t is the year, with t = 6 corresponding to 2006. In 2008, the population was 9000.
(a) Find the value of k for the model. Round your result to four decimal places.
k = 0.9587
(b) Use your model to predict the population in 2018. (Round your answer to the nearest person.)
131128003
X people
Transcribed Image Text:The populations P (in thousands) of a certain town in North Carolina, from 2006 through 2012 can be modeled by P = 4.2ekt, where t is the year, with t = 6 corresponding to 2006. In 2008, the population was 9000. (a) Find the value of k for the model. Round your result to four decimal places. k = 0.9587 (b) Use your model to predict the population in 2018. (Round your answer to the nearest person.) 131128003 X people
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