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when a plant or animal dies it stops acquiring carbon-14 from the atmosphere. carbon-14 decays over time with half-life of about 5730 years, the percent P of the original amount of carbon-14 that remains in a sample after t years is given by this equation. P=100(1/2)^t/5730 a. what percent of the riginal carbon-14 remains in a sample after 2500 years? 5000 years? 10,000 years? b. graph the model c. an archaeologist found a bison bone that contained about 37% of the carbon-14 present when the bison died. Use the graph to estimate the age of the bone when it was found.

Guest Apr 7, 2017
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 P=100(1/2)^(t/5730)

 

a.

After 2500 years  ≈ 73.9%

After 5000 years ≈  54.6%

After 10,000 years ≈ 29.8%

 

b.  Here's the graph : https://www.desmos.com/calculator/229ckgarkg

 

c. 37% remains after about 8200 years

 

 

cool cool cool

CPhill  Apr 7, 2017

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