The population P (in millions) of Italy from 2003 through 2015 can be approximated by the model  P = 57.59e0.0051t,  where t represents the year, with  t = 3  corresponding to 2003. (a) According to the model, is the population of Italy increasing or decreasing? Explain. Because the coefficient of the model is  ---Select--- positive negative  , the population is  ---Select--- increasing decreasing  .   (c) Use the model to predict the populations of the country in 2021 and 2026. (Round your answers to three decimal places.) 2021                    million 2026                    million

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 8E
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The population P (in millions) of Italy from 2003 through 2015 can be approximated by the model 

P = 57.59e0.0051t,

 where t represents the year, with 

t = 3

 corresponding to 2003.

(a) According to the model, is the population of Italy increasing or decreasing? Explain.
Because the coefficient of the model is  ---Select--- positive negative  , the population is  ---Select--- increasing decreasing  .
 
(c) Use the model to predict the populations of the country in 2021 and 2026. (Round your answers to three decimal places.)
2021                    million
2026                    million
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