The following table gives the U.S. population, ages 2064, (in millions) for selected years from 1950 and

Question:

The following table gives the U.S. population, ages 20–64, (in millions) for selected years from 1950 and projected to 2050.
(a) Find the logistic function that models these data. Use x as the number of years after 1950 and report your model with 3 significant digit coefficients.
(b) Use the unrounded model to predict the U.S. population ages 20–64 in 2025.
(c) When does the unrounded model predict this group’s population will reach 210 million?

Year Millions Year Millions 1950 92.8 2010 189.1 1960 99.8 2020 198.2 1970 113.0 2030 202.8 1980 134.0 2040 213.3 1990 152.7 2050 224.3 2000 169.8