SOLUTION: The percentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73% in the 2000 (census Bureau). Let the 1970 be year 0 and 2000 be year 30.
A. Find
Question 53355This question is from textbook university of phoenix elementary and intermediate algebra
: The percentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73% in the 2000 (census Bureau). Let the 1970 be year 0 and 2000 be year 30.
A. Find the intercept the slope of the line through the points (0,50) 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 continue, then in what year will the percentage of women in 20-24 age group who have never married reach 100%? This question is from textbook university of phoenix elementary and intermediate algebra
You can put this solution on YOUR website! a) The y intercept is what y= when x=0 (0,b). The yintercept in this case is: (0,50)
You find the slope (m) with the slope formula:
(x1,y1)=(0,50);(x2,y2)=(30,73)
m=.76667
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b)The slope intercept form of a line is:y=mx+b
m=slope and (0,b) is the y-intercept
In our case m=.76667 and the y-intercept is (0,b)=(0,50)
y=.76667x+50
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c)The y intercept represents the first data point we have of 55% of women (20-24)who've never been married in 1970 if the trend doesn't change.
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d) x=2010-1970=40
y=.76667(40)+50
y=30.6668+50
y=80.6668
The percentage of women (20-24) who've never been married should be 80.6668% in 2010 if the trend doesn't change.
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e)y=100
100=.76667x+50
100-50=.76667x=50-50
50=.76667x
50/.76667=.76667x/.76667
65.217=x
1970+65.217=2035.217
The percentage of women (20-24) who've never been married should be 100% in the year 2035.
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