The population of Ukraine in 2015 was 44.4 million and the expected continuous annual rate of change k of the population is -0.006. (a) Find the exponential growth model P = Cekt for the population by letting t = 5 correspond to 2015. (Round the leading coefficient to three decimal places.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
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The population of Ukraine in 2015 was 44.4 million and the expected continuous annual rate of change k of the population is -0.006.t
(a) Find the exponential growth model
P = Cekt
for the population by lettingt 5 correspond to 2015. (Round the leading coefficient to three decimal places.)
P =
(b) Use the model to predict the population of the country in 2026. (Round your answer to two decimal places.)
41.56
V million
(c) Discuss the relationship between the sign of k and the change in population for the country.
Because k
0, the population is decreasing V
Transcribed Image Text:The population of Ukraine in 2015 was 44.4 million and the expected continuous annual rate of change k of the population is -0.006.t (a) Find the exponential growth model P = Cekt for the population by lettingt 5 correspond to 2015. (Round the leading coefficient to three decimal places.) P = (b) Use the model to predict the population of the country in 2026. (Round your answer to two decimal places.) 41.56 V million (c) Discuss the relationship between the sign of k and the change in population for the country. Because k 0, the population is decreasing V
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