A radioactive material decays at a rate proportional to the amount present. Initially there are 150 milligrams of the material present and after 2 hour(s) the material has 50 milligrams. (a) Find the material decay constant, r > 0, r = Σ (b) Find the mass of the material N as function of time. N(t) Σ (c) Find the mass of the material N, after 3 hours, N1 Σ N(0) (d) The half-life of a radioactive material is the time T such that N(7) Find the half-life of the material in this problem. 2 T = Σ

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