8.4 grams of a 150 grams sample will remain radioactive after 45 minutes.
Given, that a radioactive substance has a decay rate of 0.064 per minute.
We need to find how many grams of a 150 grams sample will remain
radioactive after 45 minutes.
What is the decaying formula?
The decaying formula is [tex]y(t)=y_{o} e^{-rt}[/tex].
Here, [tex]y_{o} =150[/tex], r=decay rate= 0.064 and t=45 minutes.
Now, y(30)=150×[tex]e^{-0.064 \times 45}[/tex]
=150×0.0561=8.415 grams
The nearest tenth=8.4 grams.
Hence, 8.4 grams of a 150 grams sample will remain radioactive after 45 minutes.
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