Scientists Often Use a Process Called Carbon Dating to Estimate $A ( t ) = 13 \left( \frac { 1 } { 2 } \right) ^ { t / 5730 }$

Short Answer

Scientists often use a process called carbon dating to estimate the age of archaeological finds. The process measures the amount of carbon-14, a radioactive isotope with a half-life of 5730 years. If a sample of wood from an ancient artifact had 13 grams of carbon-14 initially, the amount remaining, in grams, is given by $A ( t ) = 13 \left( \frac { 1 } { 2 } \right) ^ { t / 5730 }$ where t is the number of years since the tree died. How many grams would be present after 22,920 years?