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

This is an exponential function : f ( x ) = 2 · 5 ^x
The curve goes trough the points: ( 1, 10 ), ( 2, 50 ), ( 3, 250 ).
The multiplicative rate of change:
( 50 : 10 ) / ( 2 - 1 ) = 5 / 1 = 5
( 250 : 50 ) / ( 3 - 2 ) = 5 / 1 = 5
Answer:  5