An element decays at the rate of S(t) $$S ( t ) = s e ^ { - 0.050 t }$$ , where s is the initial amount in grams and t is the time in years since this initial amount was present. If you have a 13-gram piece of this element, how many grams will
You have 3 years from now? Round your answer to the nearest tenth of a gram.
A) 0.9 g
B) 6.2 g
C) 11.2 g
D) 15.1 g

Question

Quizplus · Accepted Answer

To find the amount of the element left after 3 years, substitute $s = 13$ grams and $t = 3$ years into the given decay formula: $S(t) = 13e^{-0.050 \times 3}$. Calculating this gives approximately 11.2 grams.

An Element Decays at the Rate of S(t) S(t)=se−0.050tS ( t ) = s e ^ { - 0.050 t }S(t)=se−0.050t

An Element Decays at the Rate of S(t) $S ( t ) = s e ^ { - 0.050 t }$