algebra
posted by Anonymous on .
carbon 14 has a hlf life of 5700 years. scientists use this fact to determine the age of things made up of organic material. Suppose the average page of a book containing approximitly .5 mg og carbon 14 was put into a time capsule. How much carbon14 will each page contain after each of the following of years? a. 5700 b. 11400 c. 22800 d. 34200

If a(t) is the amount of C14 after t years,
a(t) = .05 * 2^(t/5700)
do you see why this works? every 5700 years, the exponent of t decreases by 1, from 0 to 1 to 2, etc. making the multiplier 1, 1/2, 1/4, ...
a(5700) = .05*2^(1) = .025
a(11400) = .05*2^(2) = .0125
and so on 
13300