The graphs show that the three components of love, namely, passion, intimacy, and commitme...

The graphs show that the three components of love, namely, passion, intimacy, and commitment, progress differently over time. Passion peaks early in a relationship and then declines. By contrast, intimacy and commitment build gradually. Use the graphs to solve Exercises.

Source: R. J. Sternberg. A Triangular Theory of Love, Psychological Review, 93, 119–135.

After approximately how many years do levels of intensity for commitment exceed the maximum level of intensity for passion?

In more U.S. marriages, spouses have different faiths. The bar graph shows the percentage of households with an interfaith marriage in 1988 and 2008. Also shown is the percentage of households in which a person of faith is married to someone with no religion.

Source: General Social Survey, University of Chicago

The formula

models the percentage of U.S. households with an interfaith marriage, I, x years after 1988. The formula

models the percentage of U.S. households in which a person of faith is married to someone with no religion, N, x years after 1988. Use these models to solve Exercises.

a. In which years will more than 33% of U.S. households have an interfaith marriage?

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b. In which years will more than 14% of U.S. households have a person of faith married to someone with no religion?

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c. Based on your answers to parts (a) and (b), in which years will more than 33% of households have an i nterfaith marriage and more than 14% have a faith/no religion marriage?

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d. Based on your answers to parts (a) and (b), in which years will more than 33% of households have an interfaith marriage or more than 14% have a faith/no religion marriage?