Scientists Often Use a Process Called Carbon Dating to Estimate $A ( t ) = 12 \left( \frac { 1 } { 2 } \right) ^ { t / 5,730 }$

question 45

Multiple Choice

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 5,730 years. If a Sample of wood from an ancient artifact had 12 grams of carbon-14 initially, the amount remaining, in Grams, is given by $A ( t ) = 12 \left( \frac { 1 } { 2 } \right) ^ { t / 5,730 }$ where t is the number of years since the tree died. How many grams would be present after 5,730 Years?

• A) 3 g
• B) 24 g
• C) 0.27 g
• D) 6 g