Concept explainers
(a)
To find: The ratios of the population in one year by the population in previous year.
(a)
Answer to Problem 19E
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 Nevada for several years:
Population of Nevada | |
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 Nevada.
(b)
Answer to Problem 19E
The exponential model for the population of Nevada is
Explanation of Solution
Given information:
Table below gives the population of Nevada for several years:
Population of Nevada | |
Year | Population(Thousands) |
Calculation:
From part (a), the population of Nevada becomes
Take
The exponential function for the population of Nevada is:
Therefore, the exponential model for the population of Nevada is
(c)
To find:The population of Nevada in
(c)
Answer to Problem 19E
The population of Nevada in
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 Nevada is:
The initial value for
Substitute
Use the calculator for the value of
The value of
Therefore, the population of Nevada in
Chapter 1 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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