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PLEASE HELP ME!!! taking a test rn & need help!!!!

A sample of 600 grams of a radioactive substance decays according to
the function At=600e-0.036t, where t is the time in years. How much of the
substance will be left in the sample after 30 years? Round to the nearest
whole gram.

A. 0 g
B. 2947 g
C. 204 g
D. 1 g

Sagot :

Absor201idn

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.

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