MATH 104: Practice Exam 3 Page 28 of 28 Instructor: Adam Eide 750 years. The per
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MATH 104: Practice Exam 3 Page 28 of 28 Instructor: Adam Eide 750 years. The percentage of age of that material. The where P(t) represents the 70. Carbon Dating: The radioactive element carbon-14 has a half-life of 5 carbon-14 in the remains of organic matter can be used to determine the decay of carbon-14 can be expressed with the function P(t)-0.00012t wh percentage of carbon-14 still remaining in the given organic material. et River, Maryland, archaeologists discovered an early Indian settlement that they suspected predated Columbus's arrival in the US. Charcoal they found at the encampment had (e) In Patuxn lost 8.1% of its carbon-14. How old is the charcoal that they found? (Round to nearest year) Answer (f) In Chaco Canyon, New Mexico, archaeologists found corn pollen that had lost 38.1% of its carbon- 14. How old is the corn pollen that they found? (Round to nearest year)Explanation / Answer
Given that, the % of C-14 in a sample obeys the equation
P (t) = e-0.00012t (where the t is in years)
e) P (t) = e-0.00012t
Given that, P = 8.1/100
Then,
8.1/100 = e-0.00012t
ln (8.1/100) = -0.00012t
the age of charcol= t = 2.513/0.00012 = 20944.2 years.
f). Similarly
(38.1/100) = e-0.00012t
ln (38.1/100) = -0.00012t
t = 0.9649/0.00012 = 8041.29 years
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