Lewis Harvey
2021-02-12
The burial cloth of an Egyptian mummy is estimated to contain 560 g of the radioactive materialcarbon-14, which has a half life of 5730 years.
a. Complete the table below. Make sure you justify your answer by showing all the steps.
b. Find an exponential function that models the amount of carbon-14 in the cloth, y, after t years. Make sure you justify your answer by showing all the steps.
c. If the burial cloth is estimated to contain 49.5% of the original amount of carbon-14, how long ago was the mummy buried. Give exact answer. Make sure you justify your answer by showing all the steps.
lamusesamuset
Skilled2021-02-13Added 93 answers
Given that
Initially the radioactive carbon-14 present in the burial cloth of the egyptian mummy is 560g.
The half life of carbon-14 is 5730 years.
The total amount of carbon-14 decayed after t years is given by
Where,
t-time in years,
h-Half life of carbon -14
a) To complete table using the following calculation:
Now,
1) t=0 years, h=5730 years,
2)
3)
3)
The table becomes
b)To find the exponential function that models the amount of carbon-14 in the cloth, y, after t years:
Here, At
k- rate of decay,
t- time in years.
The exponential function is
c) To find t, for
49.5% of original amount of carbon-14 is
Now,
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