# How do you know if the following data set is exponential: (0,120), (1, 180), (2, 270), (3, 405)?

##### 2 Answers

The first pair of data

This means that should be:

Now you have to determine the value of

What I do is to use the second pair of data and write:

Applying logarithms (

So basically your data fit into:

(try with the other pairs to check)

Alternately:

If the function is

and

Is the given set exponential? Maybe; it depends upon what you mean. The data could have arisen in other non-exponential ways (a polynomial with factors of

The data certainly fits an exponential model.