# How do you determine if the equation #y=39(0.098)^t# represents exponential growth or decay?

##### 1 Answer

Aug 12, 2017

I would say decay.

#### Explanation:

We can have a look at the base

this is very good because we see that if you try to use your exponent

So, the fraction

Try with

and:

So our exponential function will return us values that become smaller as

Graphically we see this as:

graph{39(0.098)^x [-11.25, 11.25, -5.625, 5.625]}

Hope it helps!