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Math Help - equation,y-intercept %

  1. #1
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    equation,y-intercept %

    Need help with this problem

    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

    a) Find and intercept the slope of the line through the points (0,55) and (30,73) ........ I got this one
    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 percentage of women in the 20-24 age group who have never married reach 100%
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  2. #2
    Super Member Aryth's Avatar
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    b) Use the slope you calculated and a point provided and do the following:

    With a slope m and a point (x_0,y_0):

    (y - y_0) = m(x - x_0)

    When you simplify it, it should be in the form of:

    y = mx + b

    c) The y-intercept is the percentage of non-married women for the year 1970 (x = 0).

    d) If 1970 = 0, then 2010 = 40. Solve the equation in b with x = 40.

    e) For this one, set the equation equal to 100, find the x-value and add it to 1970.
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