Question

The base of an exponential model is 1.024. Is the base a growth or decay factor , why or why not?

Answer 1

According to the base of the exponential function which is given to us we get that it is the base of a growth factor.

Explanation:

We know that a exponential function is in general represented by the expression:

`f(x)=ab^x`

where a is the initial amount; a>0

b is the base of the exponential function.

Also, the exponential function is a growth function is b>1

and it represent a decay if 0<b<1

Here we have:

Base i.e. b=1.024>1

Hence, it will represent a growth function.

Answer 2

I think it depends on the depends on what result you are looking for if it is the exponential model used in the problem. In this problem, it does show how someone gets this results. Both the exponential growth and decay can be used in exponential functions.