Volunteerism among College Freshmen The growth in percentage of college freshmen who reported engagement in volunteer work during the last year of high school is shown in bar graph. Connecting tops of bars with the continuous curve would give the graph which points out logarithmic growth. Function defined by
f(t) = 74.61 + 3.84 Int.
where t represents number of years since 1994 and f(t) is percent, approximates curve reasonably well.
(a) What function forecasts for percent of freshmen entering college in 2002 who performed volunteer work during their last year of high school? How does this compare to actual percent of 82.6?
(b) Describe why the exponential function would not give the good model for these data.