Question

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

Answer 1

After 30 years 204 g of the substance will be left.

Option C is correct option.

Explanation:

The function given is:
`A=600e^(-0.036t)`

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

`A=600e^(-0.036t)\\A=600((1)/(e^(0.036*30)))\\A=(600)/(e^(1.08)) \\A=(600)/(2.94467)\\A=203.75 \approx 204`

So, After 30 years 204 g of the substance will be left.

Option C is correct option.