Researchers have surveyed attitudes of college freshmen

Chapter 3, Problem 82

(choose chapter or problem)

Researchers have surveyed attitudes of college freshmen every year since 1969. The bar graph shows that since 1980, there has been a decline in fi rst-year college students opposition to homosexual relationships. Percentage Agreeing with the Statement Opposition to Homosexual Relationships among First-Year United States College Students, 19802008 Year 1980 1990 2000 2008 10% Men Women 20% 30% 40% 50% 60% 70% 56.3 52.1 36.0 30.1 39.3 30.5 20.1 17.9 Statement: It is important to have laws prohibiting homosexual relationships. Source : John Macionis, Sociology, Thirteenth Edition , Prentice Hall, 2010. a. The function f(x) = -6.2 ln x + 40.5 models the percentage of fi rst-year college women, f(x), opposed to homosexual relationships x years after 1979. If trends modeled by the function continue, when will opposition to homosexual relationships among fi rst-year college women diminish to 16%? Round to the nearest year. b. The function g(x) = -7 ln x + 59 models the percentage of fi rst-year college men, g(x), opposed to homosexual relationships x years after 1979. According to this model, when did 40% of male freshmen oppose homosexual relationships? Round to the nearest year.