EBK PRECALCULUS W/LIMITS
4th Edition
ISBN: 9781337516853
Author: Larson
Publisher: CENGAGE CO
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Question
Chapter 3.5, Problem 30E
a.
To determine
To find the exponential growth or decay model for 
or 
for the population of each country.
a.
Expert Solution
Explanation of Solution
Given Information:
The mid-year population (in millions) of five different countries in 2015 and the projected population (in millions) for the year 2025
Calculation:
Given that,
corresponds to the year 2015 and 
corresponds to the year 2025;
And the exponential or decay model is 
For Bulgaria:
From equation (1) and (2),
From equation (1),
Therefore, the decay model for Bulgaria is 
The population in the year 2035 = 
million
For Canada:
From equation (1) and (2),
From equation (1)
Therefore, the exponential model for Canada is
The population in the year 2035 = 
million.
For China:
From equation (1) and (2),
From equation (1),
Therefore, the exponential model for China is 
The population in the year 2035 = 
million.
For United Kingdom:
From equation (1) and (2),
From equation (1),
Therefore, the exponential model for United Kingdom is 
The population in the year 2035 = 
million
For United States:
From equation (1) and (2),
From equation (1),
Therefore, the exponential model for United Kingdom is 
The population in the year 2035 = 
million.
b.
To determine
To find out what constant in the equation 
gives the growth rate.
b.
Expert Solution
Answer to Problem 30E
The constant 
gives the growth rate.
Explanation of Solution
Yes, the growth rates of United Kingdom and United States are different. The constant 
in the equation
gives the growth rate.
The relationship between growth rates and the magnitude of the constant is
1) As the magnitude of constant increases, the growth rate increases.
2) As the magnitude of constant decreases, the growth rate decreases.
The growth rate directly depends on the magnitude of the constant.
Chapter 3 Solutions
EBK PRECALCULUS W/LIMITS
Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
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