Assignment:
Rapid Transit
After x weeks, the number of people using a new rapid transit system was approximately N(x) = 6x^3 + 500x + 8000
a) At what rate was the use of the system changing with respect to time after 8 weeks?
b) By how much did the use of the system change during the eighth week?
Provide complete and step by step solution for the question and show calculations and use formulas.