SOLUTION: The half-life of a radioactive substance is the time it takes for half of the substance to decay. The half-life if carbon-14 is 5700 years. A.) write a exponential function to m

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The half-life of a radioactive substance is the time it takes for half of the substance to decay. The half-life if carbon-14 is 5700 years. A.) write a exponential function to m      Log On


   

Question 576749: The half-life of a radioactive substance is the time it takes for half of the substance to decay. The half-life if carbon-14 is 5700 years.
A.) write a exponential function to model the decay of a 240-my sample.
B.) explain what each value in the function model represents.
C.) to the nearest hundredth, find the amount of carbon-14 remaining after 2353 years. Explain how you found this amount.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The half-life of a radioactive substance is the time it takes for half of the substance to decay.
The half-life if carbon-14 is 5700 years.
:
The radioactive decay formula: A = Ao*2^(-t/h)
where
A = amt after t time
Ao = initial amt (t=0)
t = time of decay
h = half-life of the substance
:
A.) write a exponential function to model the decay of a 240-my sample.
A = 240(2^(-t/5700)
:
B.) explain what each value in the function model represents.
see above
:
C.) to the nearest hundredth, find the amount of carbon-14 remaining after 2353 years.
A = 240(2^(-2353/5700)
A = 240(2^(-.4128))
using a calc
A = 240*75116
A = 180.3 grams remain after 2,353 yrs