SOLUTION: This is a word problem relating to exponential functions:
The half-life of a substance is 250 years. If there were initially 100 grams of the substance, what is the exponential
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Question 1168430: This is a word problem relating to exponential functions:
The half-life of a substance is 250 years. If there were initially 100 grams of the substance, what is the exponential model for the situation? And how much will remain after 500 years?
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Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The half-life of a substance is 250 years.
If there were initially 100 grams of the substance, what is the exponential model for the situation?
:
The half-life decay model
A = Ao*2^(-t/h) where
A = remaining amt after t time
Ao = initial amt
t = time of decay
h = half-life of substance
:
In this problem
A = 100*2^(-t/250)
:
And how much will remain after 500 years?
A = 100*2^(-500/250)
A = 100*2^(-2)
reciprocal gets rid of the negative on the exponent
A = 100*
A = 100*
A = 25 grams remain after 500 years
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