SOLUTION: (Women in labor force) The number of women in the labor force is expected to increase in 1990s, but not as dramatically as occurred during the 1970s. One forecasting consultant us

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Question 1183160: (Women in labor force) The number of women in the labor force is expected to increase in 1990s, but not as
dramatically as occurred during the 1970s. One forecasting consultant uses the linear equation n = 29.6 + 1.20 t
to predict the number of women between the ages of 35 and 44 who will be in the labor force. In this equation, n
equals the number of women (aged 35 to 44) in the labor force (measured in millions) and t equals time
measured in years since 1981 ( t = 0 corresponds to 1981). If n is plotted on the vertical axis:
(a) Graph the equation.
(b) Identify the slope and y-intercept (n-intercept here)
(c) Interpret the meaning of the slope and n-intercept in this application.
(d) Predict the number of women in this age group who will be in the labor force in 1995. In the year 2000.

Answer by Boreal(15235) About Me  (Show Source):
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graph%28300%2C300%2C-10%2C23%2C-25%2C80%2C46.4%2C51.4%2C29.6%2B1.20x%29
slope is 1.2 and means that the number of women sin the labor force increases by 1.2 million every year.
The intercept is 29.6 and means that at t=0, or 1981, there were 29.6 million women working.
In 1995, t=14, and 1.2 t=16.8 so that 46.4 million women are working.
In 2000, t=19, 5 more than in 2005 or 6 million more women, so it will be 52.4 million.