3. the half-life of a certain radioactive material is 42 days. an initial amount of the material has a mass of 49
kg. write an exponential function that models the decay of this material. find how much radioactive material
remains after 8 days. round your answer to the nearest thousandth

= 42.940 kg

Half-life = 42 days

Initial amount = 49 kg

Therefore,

New mass = original mass × (1/2)^n; where n is the number of half lives.

n = 8/42

New mass =  49 × (1/2)^(8/42)

                  = 49 × 2^(-8/42)

                  = 42.9395

                  = 42.940 kg (to the nearest thousandth)

The exponential function will be;

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explanation: