The table represents an exponential function. What is the multiplicative rate of change of the
function?
x
1
0 1 / 3
2
3
0 2 3
y
6
4
8
3
16
9
O 2
09
4.

Question Correction

The table represents an exponential function. What is the multiplicative rate of change of the  function?

(A)1/3 (B)2/3 (C)2 (D)9

(B)  

Step-by-step explanation:

An exponential function is a function of the form

where a is the initial value and b is the multiplicative rate of change

When  x=2, y=6, we have:

When  x=3, y=4, we have:

Dividing the two equations:

The multiplicative rate of change, b is .

The correct option is B.