SOLUTION: an artifact was found and tested for its carbon-14 content. if 77% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? use that carbon
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Question 473415: an artifact was found and tested for its carbon-14 content. if 77% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? use that carbon-14 has a half-life of 5,730 years.
Answer by ccs2011(207) (Show Source): You can put this solution on YOUR website!
The general exponential decay function is:
Given is that the half-life is 5730. This means that t=5730 when
We can solve for k:
Take natural log of both sides
Divide by 5730 on both sides
Now substitute this value in for k into general equation, along with fact that
Solve for t:
Take natural log of both sides
Multiply by reciprocal -> 5730/ln(1/2)
Use scientific calculator to estimate answer, round to nearest hundred
t = 2,200 years
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