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