Exponential Decay The amount of radioactive material present at time r is given by A Age", where A, is the initial amount, k<0 is the rate of decay. Radioactive substances are more commonly described in terms of their half-life or the time required for half of the substance to decompose. Determine the half-life of substance X if after 600 years, a sample has decayed to 85% of its original mass.

Question
Exponential Decay The amount of radioactive
material present at time r is given by A Age",
where A, is the initial amount, k<0 is the rate of
decay. Radioactive substances are more commonly
described in terms of their half-life or the time
required for half of the substance to decompose.
Determine the half-life of substance X if after 600
years, a sample has decayed to 85% of its original
mass.
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Transcribed Image Text

Exponential Decay The amount of radioactive material present at time r is given by A Age", where A, is the initial amount, k<0 is the rate of decay. Radioactive substances are more commonly described in terms of their half-life or the time required for half of the substance to decompose. Determine the half-life of substance X if after 600 years, a sample has decayed to 85% of its original mass.

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