Question

The table represents an exponential function.

Answer 1

we know that

The multiplicative rate of change of the exponential function between two points is equal to

$[f(b) / f(a) ] / (b-a)$

Let

$A(1,6)\\B(2,4)$

we have that

$f(a)=6\\f(b)=4\\a=1\\b=2$

substitute in the formula

$[4 / 6 ] / (2-1)=4/6=2/3$

Let

$A(3,8/3)\\B(4,16/9)$

we have that

$f(a)=8/3\\f(b)=16/9\\a=3\\b=4$

substitute in the formula

$[(16/9) / (8/3) ] / (4-3)=48/72=2/3$

therefore

the answer is the option

B.) 2/3

Answer 2

The best and most correct answer among the choices provided by the question is the second choice. The multiplicative rate of change of the function is 2/3. I hope my answer has come to your help. God bless and have a nice day ahead!