The numbers of women and people who live alone are shown in Table 56 for various years.

Let W(t) be the number of women who live alone and P(t) be the number of people who live alone, both in millions, at t years since 1990. Reasonable models are W (t) = 0.18t + 13.94 and P1t2 = 0.43t + 22.84.
a. Find W(21). What does it mean in this situation?
b. Find P(21). What does it mean in this situation?
c. Use W and P to help estimate the percentage of people living alone who were women in 2008.
d. Use the data in Table 56 to find the percentage of people living alone who were women in 1990, 2000, 2010, and 2012.
e. On the basis of your results in part (d), is the association between years and the percentage of people living alone who are women positive, negative, or neither for the period 1990€“2012? How is this possible, given that the number of women living alone increased in that period?

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Table 56 Numbers of Women and People Who Live Alone Number Living Alone (millions) Year 1990 1995 2000 2005 2010 2012 People 23.0 24.7 26.8 30.1 314 32.0 Women 14.0 14.6 15.6 17.3 17.4 17.7