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what base could be written in the blank to make the exponential function model 15% decay? y=(____)ᵗ⁄₁₂

User Gudwlk
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1 Answer

5 votes

0.85

1) Since the exponential model of decay points out, in this case, a devaluation. then, we can write the following for a 15% decay:


\begin{gathered} y=a(1-0.15)^{(t)/(12)} \\ y=a(0.85)^{(t)/(12)} \end{gathered}

Note that 1, refers to 100%. And a to the initial value.

2) So the base is 0.85 and a is the initial value. This function will provide us the devaluating value over time.

User Alexey Tigarev
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