Mathematics of carbon dating
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.
Most importantly, exponential decay is not linear and the decrease is rapid at first, but not constant.
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If the fossil has 35% of its carbon 14 still, then we can substitute values into our equation.
So, the fossil is 8,680 years old, meaning the living organism died 8,680 years ago.
If feet of pipe can be represented by the following equation: Suppose that the pollutants must be reduced to 10% in order for the kerosene to be used for jet fuel.
How long does the pipe have to be to ensure that there is only 10% of the pollutants left in the kerosene?
This half life is a relatively small number, which means that carbon 14 dating is not particularly helpful for very recent deaths and deaths more than 50,000 years ago.
After 5,730 years, the amount of carbon 14 left in the body is half of the original amount.
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.
We can see exponential decay in other areas as well.