Chapter 6.5, Problem 55E

Age at First Marriage The table that follows shows the U.S. median age at first marriage for men and women for selected years from 1900 to 2015.

Median Age at First Marriage

(Source: U.S. Census Bureau)

Using these data, the ratio of age at first marriage for women to age at first marriage for men can be modeled by where x is the number of years after 1900.

$y=\frac{0.00117x^2-0.0948x+22.4}{0.00132x^2-0.127x+26.3}$

1. a. Graph the function on a window representing the years from 1900 to 2020.
2. b. What is the predicted ratio of women’s age to men’s age at first marriage in 2020, according to the model?
3. c. Evaluate the function for large values of x to determine whether the function continues to increase indefinitely.