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