Question

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

Answer 1

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:

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

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.