A sample of 700 grams of radioactive substance decays according to the function $A(t)=700 e^{-0.034 t}$, where $t$ is the time in years. How much of the substance will be left in the sample after 30 years? Round your answer to the nearest whole gram.
A) $2213 \mathrm{~g}$
B) $0 \mathrm{~g}$
C) $1 \mathrm{~g}$
D) $252 \mathrm{~g}$

Question

Quizplus · Accepted Answer

To find the amount of substance left after 30 years, substitute $t = 30$ into the decay function: $A(30) = 700e^{-0.034 \times 30}$. Calculating this gives approximately $252$ grams.

A Sample of 700 Grams of Radioactive Substance Decays According A(t)=700e−0.034tA(t)=700 e^{-0.034 t}A(t)=700e−0.034t

A Sample of 700 Grams of Radioactive Substance Decays According $A(t)=700 e^{-0.034 t}$