Question

The function f(x) = 2 • 5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the multiplicative rate of change of the function?

Answer 1

The MRC (multiplicative rate of change) can be solved using this formula:
MRC = f(x2)/f(x1) / (x2 - x1)
If we use the coordinates (1,10) and (2,50),
MRC = 50/10 / (2-1) = 5

If we use the coordinates (2,50 and (3,250)
MRC = 250/50 / (3-2) = 5

The MRC will be the same since the function is an exponential function.