Question 14 (8 points)
An artifact was discovered by an archeologist, who intially estimated it to be about 1500 years old. Than, after carbon-14 analysis was completed, it was determined that the carbon-14 contained in the artifact decreased from 16 grams originally to 12 grams now, so that 75% of its original amount of carbon-14 remains. After the mathematical investigation was completed, this model was created:
$P(t) = 16e^{-0.000121t}$, where P(t) is the amount of carbon-14 remaining after 't' years. What conclusion should be made about the age of the artifact?
1) The initial estimate by the archeologist was not correct; the artifact is about 25,000 years old.
2) The initial estimate by the archeologist was correct; the artifact is about 1500 years old.
3) The initial estimate by the archeologist was correct; the artifact is about 2300 years old.
4) The initial estimate by the archeologist was not correct; the artifact is about 2300 years old.