Americans are getting married later in life, or not getting married at all. In 2010, more than half of Americans ages 25 through 29 were unmarried. The bar graph shows the percentage of never-married men and women in this age group for four selected years. The data are displayed as two sets of four points each, one scatter plot for the percentage of never-married American men and one for the percentage of never-married American women. Also shown for each scatter plot is a line that passes through or near the four points. Use these lines to solve Exercises 87–88.In this exercise, you will use the blue line for the women shown on the scatter plot to develop a model for the percentage of never-married American females ages 25–29.a. Use the two points whose coordinates are shown by the voice balloons to find the point-slope form of the equation of the line that models the percentage of never-married American females ages 25–29, y, x years after 1980.b. Write the equation from part (a) in slope-intercept form. Use function notation.c. Use the linear function to predict the percentage of never married American females, ages 25–29, in 2020.

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Percentage Never Married 70% 60% 50% 40% 30% 20% 10% 33.1 20.9 1980 Percentage of United States Population Never Married, Ages 25-29 Males 45.2 31.1 1990 51.7 ....... Females Year 38.9 2000 62.6 ... 47.8...... 2010 *** ********** Percentage Never Married 70% 60% 50% 40% 30% 20% 10% 0 Male 5 Female (20, 51.7) (30, 62.6) (20, 38.9) 10 15 20 Years after 1980 25 (30, 47.8) 30 X