How to solve a decay math problem?

Question

A sample of 600 grams of radioactive substance decays according to the function A(t)=600e^-.041t, where t is the time in years. How much of the substance will be left in the sample after 10 years? Round your answer to the nearest whole gram.

Answer 1

A(t) = 600e^-0.041t

A(10) = 600e^-0.041(10)

A(10) = 600e^-0.41

A(10) = 600(0.66365025)

A(10) = 398.190

 

After 10 years 398 grams remain.

Answer 2

Meg, plug 10 in for t in your calculator for your answer.