Carbon 14: Carbon 14 is a radioactive substance that decays over time. One of its important uses is in dating relatively recent archaeological events. In the following table, time t is measured in...

Carbon 14: Carbon 14 is a radioactive substance that decays over time. One of its important uses is in dating relatively recent archaeological events. In the following table, time t is measured in thousands of years, and C = C(t) is the amount, in grams, of carbon 14 remaining.

a. What is the average yearly rate of change of carbon 14 during the first 5000 years?

b. How many grams of carbon 14 would you expect to find remaining after 1236 years?

c. What would you expect to be the limiting value

of C?