Question

y=0.5e^-2.5xfind the decay rate

Answer 1

The general exponential model is given in the form:

$y=ae^{kt}$

where y is the value at time t, a is the initial value, k is the growth/decay rate, and t is the time.

Note that if k is greater than 0, it represents a growth function, while if k is less than 0, the function represents a decay model.

From the question, the function is given to be:

$y=0.5e^{-2.5x}$

This means that we have the following parameters:

$\begin{gathered} a=0.5 \\ k=-2.5 \end{gathered}$

Therefore, the decay rate is -2.5.