Chapter 1.1, Problem 46E

College Freshmen The percentage, y, of college freshmen who smoke cigarettes decreased steadily from the year 2004 to the year 2014 and can be approximated by the linear equation $y=-.46x+6.32$ where x represents the number of years since 2004. Thus, $x=0$ represents 2004, $x=1$ represents 2005, and so on. (Source: The American Freshman: National Norms.)

a. What interpretation can be given to the y-intercept of the graph of the equation?

b. In 2014, approximately what percent of college freshmen smoked?

c. In what year did approximately 2.6% of college freshmen smoke?