In 2015, 14.8% of the population was 65 or older. By 2050, this percent is expected to be 20.9%. The percent of the population aged 25–39 in 2015 was 20.0%. That age group is expected to include 10.3% of the population in 2050.

(a) Assuming these population changes are linear, use the data for the 65-or-older age group to write a linear equation. Then do the same for the 25–39 age group.

(b) Solve the system of linear equations from part (a). In what year will the two age groups include the same percent of the population? What is that percent?

(c) Does the answer to part (b) suggest that the number of people in the U.S. population aged 25–39 is decreasing? Explain.