Population Aging The following table shows the percentage of U.S. resident...

Population Aging The following table shows the percentage of U.S. residents over the age of 65 in 1950, 1960, . . . , 2010 (t is time in years since 1900):

a. Find the logarithmic regression model of the form P(t) = A ln t + C. (Round the coefficients to 4 significant digits). HINT [See Example 5.]

b. In 1940, 6.9% of the population was over 65. To how many significant digits does the model reflect this figure?

c. Which of the following is correct? The model, if extrapolated into the indefinite future, predicts that

(A) The percentage of U.S. residents over the age of 65 will increase without bound.

(B) The percentage of U.S. residents over the age of 65 will level off at around 14.2%.

(C) The percentage of U.S. residents over the age of 65 will eventually decrease.