There is a relatively constant amount of carbon-14 in living (breathing) things on Earth. Upon death of the plant or animal ,the amount of C14 in the organism decreases, according to the kinetics of first-order decay, A?products.Carbon dating is a technique used to estimate the age of the (dead) organic material by comparing its current C-14 radioactivity (in counts per minute per gram) in the sample with the value of the activity in living things (13.6cpm/g) which would have been the activity in the sample at the time of ‘death'. The radioactivity is directly proportional to the amount of C-14 nuclei in the sample.Thus we can replace our [A] in the first order equation with ‘activity 'in cpm/g. Instead of ln([A]/[A]0)=-kt, we can use ln(N/N0)=-kt, or, more precisely,Ln([activity] [activity]0)=-kt. If the activity is 13.6 cpm/g for living things, and the activity of a sample of remnants of anancient fire in a cave in Africais found to be 3.1 cpm/g, what is the estimate of the age of the remnants? C-14 has a half-life of 5730 years.Give your answer in years.