SOLUTION: Find the associated exponential decay or growth model. Q = 2,500 when t = 0; half-life = 4

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Question 719989: Find the associated exponential decay or growth model.
Q = 2,500 when t = 0; half-life = 4
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Q=Q%5B0%5De%5E%28kt%29 Basic Exponential Decay Model.

Half-life is 4. %281%2F2%29Q%5B0%5D=Q%5B0%5De%5E%28k%2A4%29
1%2F2=e%5E%284k%29
ln%281%2F2%29=4k%2A1
k=%281%2F4%29ln%281%2F2%29
highlight%28k=-0.173%29.

Given is Q=2500 at t=0, so the model for this example is highlight%28Q=2500e%5E%28-0.173t%29%29.