Carbon-14 is a radioactive isotope used to determine the age of samples of
organic matter. The amount of carbon-14 in a sample decreases once the
organism is no longer alive. The half-life of carbon-14 is approximately
5730 years. This means that every 5730 years, the amount of carbon-14 in
an organism that is no longer living will be halved. Which of the following
functions, C, models the fraction of carbon-14 remaining in a sample after
t years?
A: C(t) = 2^(t/5730)
B: C(t) = (1/2)^(t/5730)
C: C(t) = (1/2)^5730t
D: C(t) = 2^5730t
