Answered: The table shows the mid-year…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.1: Logistic Functions

Problem 17E: World Population The following table shows world population N, in billions, in the given year. Year...

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The table shows the mid-year populations (in millions) of five countries in 2015 and the projected populations (in millions) for the year 2025.

Country	2015	2025
Country A	8.5	8.0
Country B	35.5	38.3
Country C	1390.6	1428.7
Country D	65.1	68.8
Country E	322.5	343.7

(a) Find the exponential growth or decay model

y = ae^bt or y = ae^−bt

for the population of each country by letting

t = 15

correspond to 2015. Use the model to predict the population of each country in 2035. (Round your values of b to five decimal places. Round your values of a to one decimal place. Round your population predictions for 2035 to one decimal place.)

Country	Exponential Model	Population in 2035 (in millions)
A	y = 8.5e−0.00242(35)
B	y = 35.5e0.00304(35)
C	y = 1390.6e0.00108(35)
D	y = 65.1e0.00221(35)
E	y = 322.5e0.00255(35)

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