<PRE><B>Question 147701</B>
Single Women - The precentage 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 by year 30. 
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
---------------------------------------------
b) Find the equation of the line in (a).
y = (3/5)x + 55
---------------------------------------------
c) What is the meaning of the y-intercept?
The percent of women who did not marry in 1970 was 55%
-----------------------------------
d) Use the equation to predict the percentage in 2010.
f(40) = (3/5)40 + 55 = 24+55 = 79%
-----------------------------------
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)x + 55
45 = (3/5)x
x = 75
1970 + 75 years = the year 2045
====================================
Cheers,
Stan H.
</PRE>