An amateur archeologist claims to have discovered a dinosaur

An amateur archeologist claims to have discovered a dinosaur fossil that is only 3000 years old. It contains very little carbon-14; the best you can tell, it has less than 0.01% of the normal amount. (Your instruments are very crude.) What do you tell the archeologist, and why?

Solution

In precalculus terms we can say that it is an decreasing exponential and the amount of carbon14 is decreasing with time.