Concept explainers
a.
To find the exponential growth or decay model for or for the population of each country.
a.
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 find out what constant in the equation gives the growth rate.
b.
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 equationgives 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
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning