Cesium-137 is a particularly dangerous by-product of nuclear reactors. It has a half-life of 30 years. It can be readily absorbed into the food chain. Suppose we place 3,000 grams of
cesium-137 in a nuclear waste site.
(a) How much cesium-137 will be present after 30 years, or one half-life?
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How much cesium-17 will be present after 60 years, or two half-lives?
(b) Find an exponential formula that gives the amount G in grams of cesium-137 remaining in the site after h half-lives.
(c) How many half-lives of cesium-137 is 250 years? Round your answer to two decimal places.
half-lives
(d) Use your answer to part (c) to determine how much cesium-137 will be present after 250 years. Round your answer to the nearest whole number