f(x)= x^2 + 3x - 4; (0,1)
The annual revenue R (in millions of $ per year) of Wm. Wrigley Jr. Company for the years 1994-2000 can be modeled by
R= 2.0472t^3 - 49.642t^2 + 466.48t + 396.7
when t=4 corresponds to 1994.
a.) Find the average rate of change for the interval from 1996 to 2000
b.) Find the instantaneous rate of change of the model for 1996 and 2000
c.) Interpret the results of part a.) and b.) in the context of the problem
f'(x) = 2x + 3
f'(0) = 3
f'(1) = 5
average rate of change from 0 to 1 = [f(1) - f(0)] / (1-0) = [0 - (-4)] / (1 -0) = 4
The average rate of change is the average of 3 and ...
Average and instantaneous rate of change are investigated. This is applied to revenue calculations.