B ![\frac{2}{3}](/tpl/images/0309/2749/d1391.png)
Step-by-step explanation:
From the given table
When x changes from 1 to 2 , value of y changes from 6 to 4
The multiplicative rate of change=![\frac{4}{6}=\frac{2}{3}](/tpl/images/0309/2749/9376f.png)
Similarly we can check
When x changes from 2 to 3 , value of y changes from 4 to ![\frac{8}{3}](/tpl/images/0309/2749/1cd9b.png)
The multiplicative rate of change=![\frac{\frac{8}{3}}{4}=\frac{2}{3}](/tpl/images/0309/2749/1c814.png)
When x changes from 3 to 4 , value of y changes from
to ![\frac{16}{9}](/tpl/images/0309/2749/3aaed.png)
The multiplicative rate of change=![\frac{\frac{16}{9}}{\frac{8}{3}}=\frac{2}{3}](/tpl/images/0309/2749/6a42b.png)
Therefore, the multiplicative rate of exponential function = ![\frac{2}{3}](/tpl/images/0309/2749/d1391.png)