Math
posted by Hanna .
The halflife of carbon14, which is used in dating archaeological finds, is 5730 yr. Assume that 100% of the carbon14 is present at time 0 yr, or x=0. Write the equation that expresses the percentage of carbon14 remaining as a function of time.

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! 
Thanks so much!
Could you tell me the base formula used for that? 
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 "halflife" I used 1/2 as the base
for halflife questions,
amount = a(1/2)^(t/halflife period)
in your case
amount = 1(1/2)^(t/5730)
Respond to this Question
Similar Questions

halflife
ok so i got... the half life of carbon14 is 5730 years, the relation c+(1/2)^ N/5730 is used to calc. the concentration, c, in parts per trillion remaining n years after death determine the carbon concentration in a 11460 year old … 
halflife
ok so i got... the half life of carbon14 is 5730 years, the relation c+(1/2)^ N/5730 is used to calc. the concentration, c, in parts per trillion remaining n years after death determine the carbon concentration in a 11460 year old … 
ChemB
The activity of carbon 14 in living tissue is 15.3 disintegrations per minute per gram of carbon. The limit for reliable determination of age is based on carbon 14 is .10 disintegration per min per gram of carbon. Calculate the max … 
physical science
a scientist found a fossilized bison. using Carbon14 dating, she found that the fossil was about 45,840 years old. Carbon14 has a halflife of 5730 years. how many halflives have passed? 
Algebra
An artifact was found and tested for its carbon14 content. If 74% of the orginal carbon14 was still present, what is its probable age (to the nearest 100 years)? 
Science
Choose the explanation that does the following: (1) identifies the element used in carbon dating and (2) explains why the element is used. A. iodine131; iodine is present in the thyroid glands, is radioactive, and has a very long … 
Chem 2 help
what is the significance of calculating the half life of a reaction? 
math: precalculus
You have 5 grams of carbon14; whose halflife is 5730 years. a)Write the rule of the function that gives the amount of carbon14 remaining after x years. b)How much carbon14 will be left after 4,000 years? 
science
The halflife of carbon14 is 5730 years. If we start with 10 grams of carbon14, after 5730 years, we will have _____ of carbon14 left. 
science
The halflife of carbon14 is 5730 years. If we start with 10 grams of carbon14, after 5730 years, we will have _____ of carbon14 left.