2. In a certain university course, the percentage grade achieved, P, is a function of the number of days, t, spent studying where P(t) = 100t t+/ . Unfortunately, the level of interest in studying, I (as a percentage) is also a function of time. Specifically, I(t) = 100 - 10t. a) For how long must you theoretically study in order to earn a 95%? b) What is your level of interest at that time? c) How long must you study for until your level of interest is less than your percentage grade