Answer: A. About 5,700 years
Step-by-step explanation:
Expression for rate law for first order kinetics is given by
where,
k = rate or decay constant
t = age of sample
a = let initial amount of the reactant
a - x = amount left after decay process
Half life is the amount of time taken by a radioactive material to decay to half of its original value.
Thus the time taken to carbon-14 to reduce to 50% is called as half life.
From the graph, it comes out to be 5750 years which is close to 5700 years