# Carbon dating example problem instant dating

Carbon-14 dating can be used on objects ranging from a few hundred years old to 50,000 years old.

Libby and others (University of Chicago) devised a method of estimating the age of organic material based on the decay rate of carbon-14.

The amount of Carbon 14 contained in a preserved plant is modeled by the equation $$ f(t) = 10e^.

$$ Time in this equation is measured in years from the moment when the plant dies ($t = 0$) and the amount of Carbon 14 remaining in the preserved plant is measured in micrograms (a microgram is one millionth of a gram).

If I end up with a positive value, I'll know that I should go back and check my work.) In Its radiation is extremely low-energy, so the chance of mutation is very low.

However, I note that there is no beginning or ending amount given.

How am I supposed to figure out what the decay constant is?

This problem introduces the method used by scientists to date certain organic material.

It is based not on the amount of the Carbon $ isotope remaining in the sample but rather on the ratio of Carbon $ to Carbon $.