Regents High School Examination - Mathematics B Worksheet - The University Of The State Of New York, 2004 Page 15

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31 An archaeologist can determine the approximate age of certain ancient
specimens by measuring the amount of carbon-14, a radioactive sub-
stance, contained in the specimen. The formula used to determine the
– t
age of a specimen is A = A
2
, where A is the amount of carbon-14
5760
0
that a specimen contains, A
is the original amount of carbon-14, t is
0
time, in years, and 5760 is the half-life of carbon-14.
A specimen that originally contained 120 milligrams of carbon-14 now
contains 100 milligrams of this substance. What is the age of the
specimen, to the nearest hundred years?
[15]
[OVER]
Math. B – June ’04

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