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What function has a percent rate of decrease equal to 5%

User IsHidden
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Exponential decay is when an original amount is reduced by a consistent rate over a period of time, is generally expressed in percent change.

Exponential functions are represented by:


\begin{gathered} y=a(1-b)^x \\ \text{where,} \\ a=\text{original amount} \\ (1-b)=\text{decay factor or percent rate of decrease} \\ x=\text{represents time} \end{gathered}

Then, a percent rate of decrease of 5% is equal to 0.05 in decimal form.

Therefore, the function that has this decay factor is:


f(x)=3(0.05)^x

User Ajwl
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