Concept explainers
(a)
To find: The ratios of the population in one year by the population in previous year.
(a)
Answer to Problem 20E
The ratios of the population in one year by the population in previous year are
Explanation of Solution
Given information:
Table below gives the population of Virginia for several years:
Population of Virginia | |
Year | Population(Thousands) |
Calculation:
The ratio of the population in
The ratio of the population in
The ratio of the population in
The ratio of the population in
The ratio of the population in
Therefore, the ratios of the population in one year by the population in previous year are
(b)
To find:The exponential model for the population of Virginia.
(b)
Answer to Problem 20E
The exponential model for the population of Virginiais
Explanation of Solution
Given information:
Table below gives the population of Virginiafor several years:
Population of Virginia | |
Year | Population(Thousands) |
Calculation:
The population of Virginiabecomes
Take
The exponential function for the population of Virginiais:
Therefore, the exponential model for the population of Virginiais
(c)
To find:The population of Virginiain
(c)
Answer to Problem 20E
The population of Virginiain
Explanation of Solution
Given information:
Table below gives the population of Nevada for several years:
Population of Nevada | |
Year | Population(Thousands) |
Calculation:
As calculated in part (b), the exponential model for the population of Virginiais:
The initial value for
Substitute
Use the calculator for the value of
The value of
Therefore, the population of Virginiain
Chapter 1 Solutions
Calculus: Graphical, Numerical, Algebraic
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