### 4.3 Exponential Decay

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• Math Help

Here are some additional algebraic steps for finding the exponential decay rate in Example 5.

So, r = 0.05. Note that in the context of the problem in Example 5, r = 0.05 corresponds to an exponential decay rate of 5% every decade.

• Consumer Suggestion

To find out your basal metabolic rate (BMR), try this BMR calculator.

• Checkpoint Solution

Begin by finding the rate of exponential decay.

This implies r = 0.02 and that the man's BMR decays by 2% every decade.

By using the formula for exponential decay

and a spreadsheet, you can see that the man's BMR drops to about 1660 calories after 4 decades.

So, he will be about 60 years old.

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