Question 117994
The percentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73% in 2000 (census Bureau, www.census.gov). 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) = 0.6
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b) Find the equation of the line in part (a).
% = 0.6(years after 1970)+55
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c) What is the meaning of the y-intercept?
In 1970 the percentage was 55
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d)Use the equation to predict the percentage in 2010.
% = 0.6*40+55
% = 24+55 = 79
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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 = 0.6x+55
45 = 0.6x
x = 75
!00% in 1970+75 = 2045
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Cheers,
Stan H.