Question 91167: 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 200 be year 30.
a.) Find the interpret the slope of the line through the points (0,55) and (30,73).
b.) Find the equation of the line in part (a).
c.) What is the meaning of the y-intercept?
d.) Use the equation to predict the percentage in 2010.
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%?
Answer by stanbon(75887)   (Show Source):
You can 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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