Cosmic ray bombardment of the atmosphere produces neutrons, which in turn react with nitrogen to produce radioactive carbon-14 point radioactive carbon-14 enters all living tissue through carbon dioxide (via plants). as long as a plant or animal is alive, carbon-14 is maintained in the organism at a constant level. once the organism dies, however, carbon-14 decays exponentially into carbon-12 point by comparing the amount of carbon-14 to the amount of carbon-12 comma one can determine approximately how long ago the organism died. (willard libby won a nobel prize for developing this technique for use in dating archaeological specimens). the half-life of carbon-14 is about 5730 years. in answering the following questions, assume that the initial quantity of carbon-14 is 500 milligrams. a. construct an exponential function that describles the relationship between upper a comma the amount of carbon-14 in milligrams, and t comma the number of 5730-year time periods.