Last video I did an example on radioactive decay when given the half life of strontium-90 and derived an exponential function. In this video I go over what the inverse of that function is as well as how to interpret it.

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Inverse Functions: Example on Inverse of Radioactive Decay Equation

Example

From my last video: http://youtu.be/dmMRX82zqlc

The half-life of strontium-90, 90Sr, is 25 years. This means that half of any given quantity of 90Sr will disintegrate or decay in 25 years.

(a) If a sample of ⁹⁰Sr has a mass of 24 mg, find an expression for the mass m(t) that remains after t years.

(b) Find the inverse of the above equation and interpret what it means.

Solution

What this equation means is that it is the time required for the strontium-90 to decay to m milligrams.