Scientists Often Use a Process Called Carbon Dating to Estimate $$A ( t ) = 19 \left( \frac { 1 } { 2 } \right) ^ { t / 5730 }$$

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 19 grams of carbon-14 initially, the amount remaining, in grams,
is given by $$A ( t ) = 19 \left( \frac { 1 } { 2 } \right) ^ { t / 5730 }$$
where $t$ is the number of years since the tree died. How many grams would be present after 22,920 years?