Question

The table represents an exponential function.

What is the multiplicative rate of change of the function?

0.2
0.25
0.5
0.75

Answer 1

0.5

Explanation:

Answer 2

Answer: The multiplicative rate of change of the function is 0.5.

Explanation :-

The exponential function is given by

`y=Ab^x`, b is the rate of change and x is the time period.

It can be seen that it is a GP, therefore
`b=(y_(n))/(y_(n-1))`

From the given table we can see at x=1 , y=0.25

At x=2 ,y=0.125

The multiplicative rate of change of the function
`b=(y_2)/(y_1)=(0.125)/(0.25)=0.5`

At x=3 ,y=0.0625

The multiplicative rate of change of the function
`b=(y_3)/(y_2)=(0.0625)/(0.125)=0.5`

Thus multiplicative rate of change of the exponential function is 0.5 .