Ahumanoid skull is discovered near the remains of an ancient campfire. Archaeologists are convinced the skull is the same age as the original campre. It is determined from laboratory testing that only 1% of the original amount of carbon-14 remains in the burned wood taken from the campre. It is known that carbon-14 decays at a rate proportional to the amount remaining and that carbon-14 decays 50% over 5700 years.
Formulate a model for carbon-14 dating.