An artifact originally had 16 grams of carbon14 present The

An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e^-0.000121t describes amount of carbon-14 present after t years. Use the model to determine how many grams of carbon-14 will be present in 9102 years. The amount of carbon-14 present in 9102 years will be approximately grams. (Round to the nearest whole number.)

Solution

The decay model is A = 16e^-0.000121t where t is the number of years. An artifact had 16 gms of carbon -14 . Ahter 9102 years, the amount of carbon -14 in the artifact will be 16e^{-0.000121*9102} = 16e^-1.101342 = 16 *0.33242467031 = 5.318794725 = 5 gms ( on rounding off to the nearest whole number).