Application Exercises 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 oar 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 scatterplot 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. 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. 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.
Application Exercises 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 oar 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 scatterplot 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. 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. 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.
Solution Summary: The author explains the point-slope form of the equation of line by use of two points.
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 oar 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 scatterplot 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.
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.
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.
Formula Formula Point-slope equation: The point-slope equation of a line passing through the point (x 1 , y 1 ) with slope m , is given by the following formula: y - y 1 = m x - x 1 Example: The point-slope equation of a line passing through (2, -6) with slope 5 is given by: y - (-6) = 5(x - 2) y + 6 = 5(x - 2)
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