Answer:
120
Step-by-step explanation:
We are given that the function for the number of students enrolled in a new course is .
It is asked to find the average increase in the number of students enrolled per hour between 2 to 4 hours.
We know that the average rate of change is given by,
,
where f(x)-f(a) is the change in the function as the input value (x-a) changes.
Now, the number of students enrolled at 4 = f(4) = = 255 and the number of students enrolled at 2 = f(2) =
= 15
So, the average increase =
=
= 120.
Hence, the average increase in the number of students enrolled is 120.