The following table gives the estimated life expectancy in the United States as a function of years after 1940.
1 (years after 1940) | 3 | 13 | 43 | 63 |
E (years) | 63.3 | 68.8 | 74.6 | 77.5 |
Source: Atlanta Journal-Constitution.
a. Fit these data with a logarithmic function of the form E(t) = a + b In t.
b. Find E(20) and explain its meaning in this context.
c. In what year does the model predict that the estimated life expectancy will rise to 80 years?
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