Posted by **Hanna** on Tuesday, October 11, 2011 at 7:58pm.

The half-life of carbon-14, which is used in dating archaeological finds, is 5730 yr. Assume that 100% of the carbon-14 is present at time 0 yr, or x=0. Write the equation that expresses the percentage of carbon-14 remaining as a function of time.

- Math -
**Reiny**, Tuesday, October 11, 2011 at 8:08pm
Amount left = (1/2)^(x/5730)

check:

if x = 0 , amount left = (1/2)^0 = 1 = 100%

if x = 5730 , amount left = (1/2)^(1) = 1/2 = 50%

formula is good!

- Math -
**Hanna**, Tuesday, October 11, 2011 at 8:21pm
Thanks so much!

Could you tell me the base formula used for that?

- Math -
**Reiny**, Tuesday, October 11, 2011 at 9:10pm
normally I would have used \

amount = a(e^(kt)) where a is the initial amount, in your case it was 1 for 100%

and k is some constant.

but since they were talking about "half-life" I used 1/2 as the base

for half-life questions,

amount = a(1/2)^(t/half-life period)

in your case

amount = 1(1/2)^(t/5730)

## Answer this Question

## Related Questions

- Chem 2 help - what is the significance of calculating the half life of a ...
- ChemB - The activity of carbon 14 in living tissue is 15.3 disintegrations per ...
- Algebra - An artifact was found and tested for its carbon-14 content. If 74% of ...
- half-life - ok so i got... the half life of carbon-14 is 5730 years, the ...
- half-life - ok so i got... the half life of carbon-14 is 5730 years, the ...
- Science - Choose the explanation that does the following: (1) identifies the ...
- physical science - a scientist found a fossilized bison. using Carbon-14 dating...
- physics - The half-life of carbon-14 is 5730 years. How much of a 50 g sample of...
- math - A wooden artifact from an ancient tomb contains 70% of the carbon-14 that...
- Physics - When any radioactive dating method is used, experimental error in the ...

More Related Questions