Americans are getting married later in life or not getting married at all. In 2008, nearly...

Americans are getting married later in life or not getting married at all. In 2008, nearly half of Americans ages 25 through 29 were unmarried. The following bar graph shows the percentage of never-married men and women in this age group. 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.

Source: U.S. Census Bureau

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.

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b. Write the equation from part (a) in slope-intercept form. Use function notation.

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c. Use the linear function to predict the percentage of never-married American females, ages 25–29, in 2020.