Answer:
After 30 years 204 g of the substance will be left.
Option C is correct option.
Step-by-step explanation:
The function given is: [tex]A=600e^{-0.036t}[/tex]
where t is time in years.
We need to find how much of the substance will be left in the sample after 30 years?
So, we have t= 30
Putting value of t and find value of A
[tex]A=600e^{-0.036t}\\A=600(\frac{1}{e^{0.036*30}})\\A=\frac{600}{e^{1.08}} \\A=\frac{600}{2.94467}\\A=203.75 \approx 204[/tex]
So, After 30 years 204 g of the substance will be left.
Option C is correct option.