# What is an example of an exponential decay practice problem?

##### 1 Answer

Here's an example of an exponential decay problem.

A radioactive isotope has a half-life of 3000 years. If you start with an initial mass of 50.0 g, how much will you have after

A. 10 hours;

B. 100,000 years;

So, an exponential decay function can be expressed mathematically like this:

**t** years;

So, we start with 50.0 g, this represents

So, the amount left after 10 hours will be

Let's set

These values represent the two extremes of nuclear decay; after 10 hours, the amount left is, for all intended purposes, identic to the initial mass. In contrast, the amount left after 100,000 years is close to