Concept explainers
(a)
To Find: The nth term of the geometric sequence that models the data.
(a)
Answer to Problem 84E
The required model is
Explanation of Solution
Given:
The required table is shown in Table 1
Table 1
Year | Population |
2009 | 40.9 |
2010 | 41.3 |
2011 | 41.8 |
2012 | 42.2 |
2013 | 42.6 |
2014 | 43.0 |
2015 | 43.4 |
Calculation:
Input the year on L and the population on L2 in the graphing calculator as shown in Figure 1
Figure 1
From above the nth term of the sequence is,
(b)
To Find: The rate at which the population of Argentina is growing.
(b)
Answer to Problem 84E
The growth rate is
Explanation of Solution
Consider the gravitational growth model is,
Then, the growth rate is r and compare it to the model of part (a), then,
(c)
To Find: The prediction for the population of the Argentina in 2025 and compare it to the value that population of Argentina will be 47.2 million in 2025.
(c)
Answer to Problem 84E
The prediction
Explanation of Solution
Consider the required model is,
Then, the population in 2025 is,
The above prediction is
(d)
To Find: The sequence from part (a) to predict that when will the population of Argentina will reach 50.0 million.
(d)
Answer to Problem 84E
The required population is achieved in year 2029.
Explanation of Solution
Consider the required model is,
Then,
Thus, the required population is achieved in year 2029.
Chapter 9 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