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 85 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 2020, 2.1% of the population is projected to be over 85. To how many significant digits does the model reflect this figure?

c. Which of the following is correct? If you increase A by 0.1 and decrease C by 0.1 in the logarithmic model, then

(A) The new model predicts eventually lower percentages.

(B) The long-term prediction is essentially the same.

(C) The new model predicts eventually higher percentages.