The weight of a radioactive sample is given by the function
where is the time, in years, and is the weight of the sample, in ounces.
What is the weight of the sample when ?
The function is:
This is an exponential decay function because the base is between 0 and 1:
That means the sample's weight decreases over time.
We need to find the weight when:
Substitute into the function:
First calculate the exponent:
Now multiply by :
Rounded to two decimal places:
So the weight of the radioactive sample after 3 years is approximately:
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