Question

What is the multiplicative rate of change of the exponential function represented in the table

Answer 1

We are given the following data
x    y
1     4.5
2     6.75
3      10.125
4      15.1875

To get the multiplicative rate of change, we pick out two pairs of data so,
MROC = 6.75/4.5 / (2 - 1)
MROC = 1.5

The answer is 1.5

Answer 2

Answer: 1.5

Step-by-step explanation:

In the given picture we have a table :-

x     y

1     4.5

2     6.75

3      10.125

4      15.1875

We know that exponential function is a geometric progression,

Thus for exponential function the multiplicative rate of change

$=\frac{\text{value of y at x=2}}{\text{value of y at x=1}}=\frac{6.75}{4.5}=1.5$

Similarly we can check

$=\frac{\text{value of y at x=3}}{\text{value of y at x=2}}=1.5$

$=\frac{\text{value of y at x=4}}{\text{value of y at x=3}}=1.5$

Therefore, the multiplicative rate of exponential function =1.5