...Let represent the expected score for a student who studies hours for a test. Suppose and test scores must be integers.

What is the highest score the student can expect?

what happens to e^(-kt) as t gets large?

If the student does not study, what score can he expect?

evaluate P(0)

If the student needs a grade of 80 to pass the class, how many hours of studying are necessary?

set P(t) = 80 and solve for t