The bar graph shows the average age at which men in the United States married for the first time from 2009 through 2013. The data are displayed as five points in a scatter plot. Also shown is a line that passes through or near the points.

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 men’s average age of first marriage, y, x years after 2008.

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

c. If trends shown from 2009 through 2013 continue, use the linear function to project men’s average age of first marriage in 2020.

Transcribed Image Text:

Age 29.2 29.0 28.8 28.6 28.4 28.2 28.0 Men's Average Age of First Marriage y 28.2 28.4 28.6 29.0 ||| Year Age 29.2 29.0 28.8 28.6 28.4 28.2 28.0 (2, 28.2) (4, 28.6) 0 1 2 3 4 Years after 2008 5 x