EXAMPLE 6 Radioactive Decay Polonium-210 (210P0) has a half-life of 140 days. Suppose a sample of this substance has a mass of 300 mg. (a) Find a function m(t) = m,2¯ that models the mass remaining after t days. (b) Find a function m(t) t days. %3D = moe" that models the mass remaining after (c) Find the mass remaining after one year. (d) How long will it take for the sample to decay to a mass of 200 mg? (e) Draw a graph of the sample mass as a function of time.

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