The rate of decay of a radioactive substance is proportional to the amount of the substance present. Two years ago there were 5 grams of substance. Now there are 4 grams. How many grams will there be 4 years from now?

Suppose the amount of the radioactive substance is y and the time it t years.
The rate of decay is ...

Solution Summary

Rate of decay is used to calculate the amount of a radioactive substance after a given time has elapsed. The solution is detailed and well presented. The response was given a rating of "5" by the student who originally posted the question.

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Applications of Derivatives and Differential Equations. ... 1. This is a very slow rate of decay, but it is typical for naturally occurring radioactive materials ...

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... is the constant of proportionality called decay constant ... Solving this differential equation we get the number of atoms ... The half-life of a radioactive sample is ...