exponential function problem  TOPIC_SOLVED

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exponential function problem

Postby sully039 on Sun Sep 11, 2011 3:38 pm

Carbon-14 is present in all living things. When a living thing dies, the amount of isotope at that time starts to decay.
The function for radioactive decay is R(t)=R0(1/2)t/h, where R is the radioactivity/gram of carbon-14 at time t after death, R0 is the radioactivity/gram of carbon at the time of death, and h is the half-life of carbon-14. The half-life of carbon-14 is 5370 years. After 3000 years, how much carbon-14 radioactivity/gram remains in a dead tree?

So far I've set up the equation:
R(t)=R0(1/2)3000/5370
But how are you supposed to solve for R(t) when you have 2 unknowns?
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Re: exponential function problem  TOPIC_SOLVED

Postby nona.m.nona on Sun Sep 11, 2011 7:50 pm

sully039 wrote:But how are you supposed to solve for R(t) when you have 2 unknowns?

You can learn the general process in this lesson.

Note: In your case, R(t) = 0.5*R0(t).
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Re: exponential function problem

Postby kanishkporwal on Sat Sep 17, 2011 1:40 pm

for problems on exponential functions please log on to tutorvista
here's the link http://math.tutorvista.com/calculus/graphing-exponential-functions.html
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