a. In 2000, the population of a country was approximately 5.53 million and by 2015 it is projected to grow to 7 million. Use the exponential growth model A = A, e kt, in which t is the number of years after 2000 and A, is in millions, to find an exponential growth function that models the data. b. By which year will the population be 10 million?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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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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a. In 2000, the population of a country was approximately 5.53 million and by 2015 it is projected to grow to 7 million. Use
the exponential growth model A = Ao e
12-
kt
in which t is the number of years after 2000 and A, is in millions, to find an
Projected
9-
2000
exponential growth function that models the data.
6-
5,530,000
b. By which year will the population be 10 million?
3-
1950 1970 1990 2010 2030 2050
Year
a. The exponential growth function that models the data is A =
(Simplify your answer. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)
b. The country's population will be 10 million in the year
(Use the answer from part a to find this answer. Round to the nearest year as needed.)
Enter
your answer in each of the answer boxes.
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Conta
Copyright O 2021 Pearson Education Inc. All rights reserved. Terms of Use
Population (millions)
Transcribed Image Text:a. In 2000, the population of a country was approximately 5.53 million and by 2015 it is projected to grow to 7 million. Use the exponential growth model A = Ao e 12- kt in which t is the number of years after 2000 and A, is in millions, to find an Projected 9- 2000 exponential growth function that models the data. 6- 5,530,000 b. By which year will the population be 10 million? 3- 1950 1970 1990 2010 2030 2050 Year a. The exponential growth function that models the data is A = (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) b. The country's population will be 10 million in the year (Use the answer from part a to find this answer. Round to the nearest year as needed.) Enter your answer in each of the answer boxes. l Privacy Policy | Permissions Conta Copyright O 2021 Pearson Education Inc. All rights reserved. Terms of Use Population (millions)
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