Carbon dating using exponential growth
Then after time equals one half-life, we'd have 50% of our substance.
At time is equal to two half-lives, we'd have 25% of our substance, and so on and so forth.
The model is nearly the same, except there is a negative sign in the exponent.
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So let's just think a little bit about the rate of change, or the probability, or the number particles that are changing at any given time.