Question

Exponential decay question

Answer 1

Exponential decay means your function can be written as

\[f(x)=k a^{-x}\]

so what's changes between successive values? Well if we look at any x, the next point down on the list will be x+1, so if we plug it in we get:

\[f(x+1) = ka^{-x-1} = ka^{-x}a^{-1} = \frac{1}{a} f(x)\]

so we see that the ratio between successive terms is dividing by some number:

\[\frac{f(x+1)}{f(x)} = \frac{1}{a}\]

So let's look and compare any two consecutive elements in our sets, in set A is \(\frac{220}{169}\) the same as \(\frac{169}{118}\)? How about in set B, is \(\frac{224}{112}\) the same as \(\frac{28}{14}\)?

Answer 2

I got Set B @kainui