The half-life for the decay of carbon-14 is 5730 years. Present-day carbon (in living matter) gives 15.3 disintegrations of ¹⁴C per minute per gram of total carbon. An archaeological sample containing carbon was dated by analysis of its radioactive carbon. The activity of the carbon from the sample was 5.4 disintegrations of ¹⁴C per minute per gram of total carbon. What was the age of the sample?

a. 2.4 × 10^5 y

b. 1.2 × 10⁴ y

c. 3.7 × 10³ y

d. 7.2 × 10³ y

e. 8.6 × 10³ y