Question 135415
The percentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73%in 2000. Let 1970 be year 0 and 2000 be year 30. 
a) Find and interpret the slope of the line through the points (0,55) and (30, 73)
slope = (73-55)/(30-0) = 3/5
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b) Find the equation of the line in part (a)
Percentage = (3/5)(# of years after 1070)+55
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c)What is the meaning of the y-intercept
It is the percentage in the year 1970
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d)Use the equation to predict the percentage in 2010.
2010 is 40 years after 1970, so
%(40) = (3/5)40 + 55
%(40) = 70%
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e) If this trend continues, then in what year will the percentage of women in the 20-24 age group who have never married reach 100%?
100 = (3/5)(year) + 55
45 = (3/5)year
75 = year
1970 + 75 = 2045 (year in which the percent will be 100)
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Cheers,
Stan H.
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