# How is exponential decay related to a half-life?

##### 1 Answer

May 5, 2018

Half-life is a form of exponential decay over time.

See below.

#### Explanation:

Assume you have an initial quantity (

This means that the quantity will halve in value after

An example:

The half-life of Plutonium-241 is 14.4 years. If I start with 1000 gm after 5 years and 50 years I will have:

This is a form of exponential decay.