EXPERIMENTAL PSYCHOLOGY To study the rate at which animals learn, a psychology student per...

EXPERIMENTAL PSYCHOLOGY To study the rate at which animals learn, a psychology student performed an experiment in which a rat was sent repeatedly through a laboratory maze. Suppose that the time required for the rat to traverse the maze on the nth trial was approximately

minutes.

a. What is the domain of the function T?

b. For what values of n does T(n) have meaning in the context of the psychology experiment?

c. How long did it take the rat to traverse the maze on the 3rd trial?

d. On which trial did the rat first traverse the maze in 4 minutes or less?

e. According to the function T, what will happen to the time required for the rat to traverse the maze as the number of trials increases? Will the rat ever be able to traverse the maze in less than 3 minutes?