Hello from MrBillDoesMath!
Answer:
-50, which is choice A
Discussion:
Let f(x) = -x^3 + 24x^2 - 179x + 495
Then f(5) = 75 and f(2) = 225. So the average rate of change is
( f(5) - f(2) ) / (5 -2 ) = (75 - 225) /(5 -2) = -150/3 = -50
which is choice A
Regards,
MrB