Topic - Exponential Functions

You are a Russian scientist employed by the government tasked to research the radioactivity of Chernobyl. The 1986 explosion at the Chernobyl nuclear power plant in the former Soviet Union sent about 1000 kilograms of radioactive cesium-137 into the atmosphere. The function f(t) = 1000(0.5) ^ describes the amount f(t), in kilograms, of cesium-137 remaining in Chernobyl t years after 1986. If at least 100 kilograms of cesium-137 remain in Chernobyl's atmosphere, the area is considered unsafe for human habitation. Compute for the first year the place will be safe to live again ad present your calculations to the administration.