The growth of the number of students taking at least one online course can be approximated by a logistic function with k = 0.0440, where t is the number of years since 2002. In 2002 (when t = 0), the number of students enrolled in at least one online course was 1.603 million. Assume that the number will level out at around 6.8 million students.

a. Find the growth function G(t) for students enrolled in at least one online course.

Find the number of students enrolled in at least one online course and the rate of growth in the number in the following years.

b. 2004 

c. 2006 

d. 2010

e. What happens to the rate of growth over time?