s5chwiBrookcpcs s5chwiBrookcpcs

24-11-2016
Mathematics

Answered

What does the Exponential Decay Variables Mean?

For Half Lifes

Y=Ae^-bX

Verified Answer :

alsteva alsteva

27-11-2016

A is the initial population

b is the decay coefficient

X is normally the time.

\(Y = Ae^{-bx}\)

then is the population half of the initial population of A

for half life you will have

\(\frac{Y}{A} = \frac{1}{2}\)

so the equation becomes

\(\frac{1}{2} = e^{-bX} \\ \\\ln{ \frac{1}{2}} =\ln{e^{-bX}} \\ \\ \ln{1}-\ln{2}=-bX \\bX=\ln{2}\)

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