Concept explainers
Skills and Applications
Population Statistics
The table shows the life expectancies of a child (at birth) in the United States for selected years from 1940 through 2010. (Source: U.S. National Center for Health Statistics)
Year | Life Expectancy,
|
1940 | 62.9 |
1950 | 68.2 |
1960 | 69.7 |
1970 | 70.8 |
1980 | 73.7 |
1990 | 75.4 |
2000 | 76.8 |
2010 | 78.7 |
The model for the life expectancy during this period is
where
(a) Use a graphing utility to graph the data from the table and the model in the same viewing window. How well does the model fit the data? Explain.
(b) Determine the life expectancy in 1990 both graphically and algebraically.
(c) Use the graph to determine the year when life expectancy was approximately 70.1. Verify your answer algebraically.
(d) Find the
(e) Do you think this model can be used to predict the life expectancy of a child 50 years from now? Explain.
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Precalculus (MindTap Course List)
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