Carbon dating is a method of determining the time elapsed since the death of organic material. The assumptions implicit in carbon dating are that - Carbon 14 (C-14) makes up a constant proportion of the carbon that living matter ingests on a regular basis, and - once the matter dies, the C-14 present decays, but no new carbon is added to the matter. Hence, by measuring the amount of C-14 still in the organic matter and comparing it to the amount of C-14 typically found in living matter, a "time since death" can be approximated. Using the decay-rate parameter you computed in Exercise 7, determine the time since death if (a) 88% of the original C-14 is still in the material. (b) 12\% of the original C-14 is still in the material. (c) 2% of the original C-14 is still in the material. (d) 98% of the original C-14 is still in the material. Remark: There has been speculation that the amount of C-14 available to living creatures has not been exactly constant over long periods (thousands of years). This makes accurate dates much trickier to determine