Concept explainers
(a)
To find: The
(a)
Answer to Problem 7AYU
The required graph is shown in Figure 1
Explanation of Solution
Given:
The given table is shown in table 1
Table 1
Year | Population |
1900 | 76212168 |
1910 | 92228496 |
1920 | 106021567 |
1930 | 1232052624 |
1940 | 132164569 |
1950 | 151325798 |
1960 | 179323175 |
1970 | 203302031 |
1980 | 226542203 |
1990 | 248709873 |
2000 | 281421906 |
Calculation:
Consider the population as dependent variable.
The scatter plot for the functions in table 1 is shown in Figure 1
Figure 1
(b)
To find: The logistic model from the given data.
(b)
Answer to Problem 7AYU
The logistic model is
Explanation of Solution
From the given data the logistic model is,
(c)
To find: The plot of the logistic model.
(c)
Answer to Problem 7AYU
The required plot is shown in Figure 2
Explanation of Solution
Given:
The given model is
Calculation:
Consider the given model is,
The required plot is shown in Figure 2
Figure 2
(d)
To find: The carrying capacity of the united states.
(d)
Answer to Problem 7AYU
The carrying capacity of the united states is
Explanation of Solution
Given:
The given model is
Calculation:
Consider the given model is,
Then, the carrying capacity of the United States is,
(e)
To find: The population of the united states in 2012.
(e)
Answer to Problem 7AYU
The population of the united states is
Explanation of Solution
Given:
The given model is
Calculation:
Consider the given model is,
Then, the population of the united states in 2012 is,
(f)
To find: The year in which the population is 350000000.
(f)
Answer to Problem 7AYU
The required population is in the year
Explanation of Solution
Given:
The given model is
Calculation:
Consider the given model is,
Then, the population of the United States is 350000000 in,
Thus, the population is 3000000000 in the year
Chapter 5 Solutions
Precalculus
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