8. A humanoid skull is discovered near the remains of an ancient campfire. Ar- chaeologists are convinced the skull is the same age as the original campfire. It is determined from laboratory testing that only 1% of the original amount of carbon-14 remains in the burned wood taken from the campfire. It is known that carbon-14 decays at a rate proportional to the amount remaining and that

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8. A humanoid skull is discovered near the remains of an ancient campfire. Ar-
chaeologists are convinced the skull is the same age as the original campfire.
It is determined from laboratory testing that only 1% of the original amount
of carbon-14 remains in the burned wood taken from the campfire. It is known
that carbon-14 decays at a rate proportional to the amount remaining and that
1.2 Approximating Change with Difference Equations
17
carbon-14 decays 50% over 5700 years. Formulate a model for carbon-14
dating.
Transcribed Image Text:are satisfactory. 8. A humanoid skull is discovered near the remains of an ancient campfire. Ar- chaeologists are convinced the skull is the same age as the original campfire. It is determined from laboratory testing that only 1% of the original amount of carbon-14 remains in the burned wood taken from the campfire. It is known that carbon-14 decays at a rate proportional to the amount remaining and that 1.2 Approximating Change with Difference Equations 17 carbon-14 decays 50% over 5700 years. Formulate a model for carbon-14 dating.
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