Let t = 0 correspond to 1870, and let every decade correspond to an increase in t

Question:

Let t = 0 correspond to 1870, and let every decade correspond to an increase in t of 1. Use the table from Exercise 66.
(a) Use 1870, 1920, and 1970 to find N, 1870 to find b, and 1920 to find k in the equation

(b) Estimate the population of the United States in 2010 and compare your estimate to the actual population in 2010.
(c) Predict the populations of the United States in 2030 and 2050.

Exercise 66

In the following table of U.S. Census figures, y is the population in millions.