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put this solution on YOUR website!The percentage of women in the 20-24 age group who have never married went from 55% in the 1970 to 73% in 2000 (Census Bureau, www.census.gov) Let 1970 be year 0 and 2000 be year 30.
a.) Find the interpret the slope of the line through the points (0,55) and (30,73).
slope = [73-55]/[30-0] = 18/30 = 9/15
slopw means "for each 15 years gone by the percent of women in the designated
group who have never married increased 9%"
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b.) Find the equation of the line in part (a).
m= (9/15) and y = 55 when x= 0
EQUATION: y = (9/15)x+55
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c.) What is the meaning of the y-intercept?
y-intercept occurs when x = 0 means that in 1970 the percentage was 55
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d.) Use the equation to predict the percentage in 2010.
In 2010 x= 2010-1970 = 40
Let x=40 and solve for y:
y = (9/15)40+55 = 24+55 =79%
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e.) If this trend continues, then in what year will the percentages of women in the 20-24 age group who have never married reach 100%?
Let y= 100 and solve for x:
100 = (9/15)x+55
45 = (9/15)x
x = 75
1970+75= 2045
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Cheers,
Stan H.
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