Question

Create a function that models this scenario. Then solve it. There is 500 grams (g), of radioactive material. It's half-life is 5,700 years, (t.)How many grams will there be in 20,000 years?

Answer 1

$\begin{gathered} g(t)=500e^{5700-t} \\ \\ \text{Thus } \\ g(20000)=500e^{5700-20000} \\ g(20000)\approx0 \end{gathered}$$\text{ there will be 0 grams!}$