The Institute finds that the average student taking Elementary Shorthand will progress at a rate given by

Question

dQ/dt=k(80-Q)

in a 20 -wk course, where Q(t) measures the number of words of dictation a student can take per minute after t wk in the course.

If the average student can take 60 words of dictation per minute after 5 wk in the course, how many words per minute can the average student take after completing the course?
Round the answer to the nearest word.

Answer 1

Assume a solution Q=Ce^-rt + K