Carbon dating mathematical modelling
The stable form of carbon is carbon 12 and the radioactive isotope carbon 14 decays over time into nitrogen 14 and other particles.
Carbon is naturally in all living organisms and is replenished in the tissues by eating other organisms or by breathing air that contains carbon.
This can be represented as an exponential function if we say that every time I bake cookies my time decreases by 1/5 of the previous time.
We can use exponential decay to represent a number of different things.
When an organism dies it ceases to replenish carbon in its tissues and the decay of carbon 14 to nitrogen 14 changes the ratio of carbon 12 to carbon 14.
I am just learning the recipe so it takes me more time to look back and forth and double check.
The more cookies I make, the more practice I have and the less time it takes me to bake the cookies.
We can see exponential decay in other areas as well.
Let’s say that I can make a dozen cookies in 2 hours.
Fallout from nuclear bomb tests during the cold war has just yielded encouraging news for those searching for ways to reverse heart disease.