2. Carbon dating is often used to determine the age of a fossil. The amount of carbon remaining in a fossil follows a model of exponential decay; the half-life indicates the length of time it takes for the carbon to decrease to half of its initial amount. Archae- ologists believe the age of a humanoid skull found in a cave in South Africa to be the same age as the remains of a campfire found nearby. (a) It is determined that only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire. Estimate the age of the skull if the half-life of carbon-14 is about 5600 years. (b) The technique of carbon dating is very sensitive. Estimate the age of the skull if it is assumed the half-life of carbon-14 is 5550 years, (c) Using the original half-life of 5600 years, now estimate the nge of the skull assum- ing 3% of the original mass remains, 2. Carbon dating is often used to determine the age of a fossil. The amount of carbon remaining in a fossil follows a model of exponential decay; the half-life indicates the length of time it takes for the carbon to decrease to half of its initial amount. Archae- ologists believe the age of a humanoid skull found in a cave in South Africa to be the same age as the remains of a campfire found nearby. (a) It is determined that only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire. Estimate the age of the skull if the half-life of carbon-14 is about 5600 years. (b) The technique of carbon dating is very sensitive. Estimate the age of the skull if it is assumed the half-life of carbon-14 is 5550 years, (c) Using the original half-life of 5600 years, now estimate the nge of the skull assum- ing 3% of the original mass remains