<PRE><B>Question 93217</B>
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
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a) Find and interpret the slope of the line through the points 
(0,55) and (30,73) 
slope = [73-55] / [30-0] = 18/30 = 3/5
With each additional 5 years the percentage of those in that group that
never married goes up 3 percent.
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b) Find the equation of the line in part (a)
Form is y=mx+b
m=3/5 and y=55 when x = 0
EQUATION: y = (3/5)x+55
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c) What is the meaning of the y-intercept?
In 1970 the percent was 55
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d) Use the equation to predict the percentage in 2010
Note: 2010 is 40 years after 1970.
Let x= 40 and solve for y or percentage:
y = (3/5)*40+55 = 79% in the year 2010
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e) If this trend continue, then what year will the percentage of women in the 20-24 age group who have never married reach 100% 
Let y=100 and solve for x
100 = (3/5)x+55
45 = (3/5)x
15 = (1/5)x
x = 75
1970+75yrs = 2045
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Cheers,
Stan H.
</PRE>