The age of a bone can be determined using carbon-14 dating. The age is calculated using the model t(p) = -18,935(log p), where t is the age (in years) and p is the percent of carbon-14 remaining (expressed as a decimal). a) How old is a bone that has only 8% of its carbon-14 remaining? b) Express the formula in exponential form. Use this to isolate p and make the function p(t). Use your answer to part b) to determine the percent of carbon-14 remaining in a Viking skeleton that that was found from the attack on York in the year 866. c)
The age of a bone can be determined using carbon-14 dating. The age is calculated using the model t(p) = -18,935(log p), where t is the age (in years) and p is the percent of carbon-14 remaining (expressed as a decimal). a) How old is a bone that has only 8% of its carbon-14 remaining? b) Express the formula in exponential form. Use this to isolate p and make the function p(t). Use your answer to part b) to determine the percent of carbon-14 remaining in a Viking skeleton that that was found from the attack on York in the year 866. c)
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:The age of a bone can be determined using carbon-14 dating. The age is calculated using the model
t(p) = -18,935(log p) , where t is the age (in years) and p is the percent of carbon-14 remaining
(expressed as a decimal).
a)
How old is a bone that has only 8% of its carbon-14 remaining?
b)
Express the formula in exponential form. Use this to isolate p and make the function p(t).
Use your answer to part b) to determine the percent of carbon-14 remaining in a Viking skeleton that
that was found from the attack on York in the year 866.
c)
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