The table shows the populations (in millions) of five countries in 2013 and the projected populations (in millions) for 2025. (Source: U.S. Census Bureau) Country 2013 2025 Australia 22.3 25.1 Canada 34.6 37.6 Hungary 9.9 9.6 Philippines 105.7 || 128.9 Turkey 80.7 90.5 (a) Find the exponential growth or decay model, y = ae" or y = ae¯b, for the population of each country, where t is the year, with t = 13 corresponding to 2013. Use the model to predict the population of each country in 2040.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 35EQ
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PLEASE SOLVE ALL THREE PARTS IN DETAIL

The table shows the populations (in millions) of five
countries in 2013 and the projected populations (in
millions) for 2025. (Source: U.S. Census Bureau)
Country
2013 2025
Australia
22.3
25.1
Canada
34.6
37.6
Hungary
9.9
9.6
Philippines 105.7 || 128.9
Turkey
80.7
90.5
(a) Find the exponential growth or decay model,
y = ae" or y = ae¯b, for the population of
each country, where t is the year, with t = 13
corresponding to 2013. Use the model to predict
the population of each country in 2040.
Transcribed Image Text:The table shows the populations (in millions) of five countries in 2013 and the projected populations (in millions) for 2025. (Source: U.S. Census Bureau) Country 2013 2025 Australia 22.3 25.1 Canada 34.6 37.6 Hungary 9.9 9.6 Philippines 105.7 || 128.9 Turkey 80.7 90.5 (a) Find the exponential growth or decay model, y = ae" or y = ae¯b, for the population of each country, where t is the year, with t = 13 corresponding to 2013. Use the model to predict the population of each country in 2040.
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