As we discussed in class, on earth the ratio of carbon 14 to carbon 12 years after the death of an organism is given by r=1/10^12 e^(-t/8223) On your vacation you find a beautiful ancient woven basket where the ratio of carbon 14 to carbon 12 is 0.72*10^-12. It is approximately how many years old? Solution R= (1/10^12)e^(-t/8223) Here R=.72*10^-12 .72*10^-12= (1/10^12)e^(-t/8223) .72*10^-12 *10^12= e^(-t/8223) .72= e^(-t/8223) Taking ln on both sides ln .72= -t/8223 t=-8223 ln.72 t=2701 yrs approx.