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I'm doing this assignment where I'm supposed to come up with an equation that models a certain collection of data. I have 40 sets of points and when graphed, they obviously show exponential decay. Now I've done a bit of research on this topic and the Equation used to calculate the number of particles left is y=A*2^(-x/halflife) where:

y is the number of particles left

A is the initial number of particles

x is time and it increments

Now i've been trying to come up with this equation by using a general exponential equation and solving for constants. My general equation is y=A*B^kx where A, B, and k are constants.

Am i approaching this problem correctly? My task is to somehow come up with the correct equation which incorporates halflife. I want to somehow prove that the real model for the data is y=A*2^(-x/halflife) which i know is the correct model. How can i go about proving this?

Here is a bit more information about decay and the above equation is there:

http://www.talkorigins.org/faqs/isochron-dating.html#generic

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# Homework Help: Radiometric Dating Equation Clarification

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