Function f is an exponential function: what are the ratios of outputs for any 2 inputs that are 4 apart?

The answer would be 18

The problem is asking ratio of two inputs that are 4 apart. Ratio means that you need to divide the second number(x2) by the first number(x1). Two inputs that are 4 apart mean when x2-x1 is equal to 4.

Let say that x2=4 and x1=0
Then the ratio would be:
f(x2)/f(x1)=
f(4)/ f(0)=       ---> look the table. f(4)= 48, f(0)=3
48/3= 16

Am exponential function is given by f(x) = B^x where the out put is f(x). And the input B = 2. So is they are 4 apart let x1 = 0, x2 = 4, x3 = 8 x4 = 12 and on and on and on. So f(x_n) = B^(x_n) So for x = 0 we have f(x =x1 = 0) = 2^0 = 1. For x = x2 = 4 we have f(x = x2 = 4) = 2^4 = 16 For x = x3 = 8 we have f(x = x3 = 8) = 2^8 = 256 So the ratio becomes x3/x2 and x2/x1 So we have 256/16 and 16/1. Hence the ratio is 16:1