The bar graph shows changes in the percentage of college graduates for Americans ages 25 and older from 1990 to 2010. Exercises 61–62 involve developing arithmetic sequences that model the data.

In 1990, 24.4% of American men ages 25 and older had graduated from college. On average, this percentage has increased by approximately 0.3 each year.

a. Write a formula for the nth term of the arithmetic sequence that models the percentage of American men ages 25 and older who had graduated from college n years after 1989.

b. Use the model from part (a) to project the percentage of American men ages 25 and older who will be college graduates by 2019.

Transcribed Image Text:

Percentage Graduating from College 35% 30% 25% 20% 15% 10% 5% Percentage of College Graduates for Americans Ages 25 and Older Male Female 24.4 18.4.... 1990 30.3 29.6 Year 2010