So, the fossil is 8,680 years old, meaning the living organism died 8,680 years ago.
Natasha Glydon Exponential decay is a particular form of a very rapid decrease in some quantity.
Carbon is naturally in all living organisms and is replenished in the tissues by eating other organisms or by breathing air that contains carbon.
At any particular time all living organisms have approximately the same ratio of carbon 12 to carbon 14 in their tissues.
Where t is the age of the fossil (or the date of death) and ln() is the natural logarithm function.
If the fossil has 35% of its carbon 14 still, then we can substitute values into our equation.
Archaeologists use the exponential, radioactive decay of carbon 14 to estimate the death dates of organic material.