The rate of change in data entry speed of the average student is ds/dx = 5(x + 1)-1/2, where x is the number of lessons the student has had and s is in entries per minute.
(a) Find the data entry speed as a function of the number of lessons if the average student can complete 10 entries per minute with no lessons (x = 0).
(b) How many entries per minute can the average student complete after 24 lessons?