The Law of exponential Decay is an application of antiderivatives. Just as something can decay, it can grow as well. Both decay and growth are included in the theorem below. Exponential Growth and Decay If y is a differentiable function of t such that y 0 and y ' = ky, for some constant k, then y = Cekt. C is the initial value of y, and k is the proportionality constant. Exponential growth occurs when k 0, and exponential decay when k

Question

The Law of exponential Decay is an application of antiderivatives. Just as
something can decay, it can grow as well. Both decay and growth are
included in the theorem below.
Exponential Growth and Decay
If y is a differentiable function of t such that y > 0 and y ' = ky, for some
constant k, then y = Cekt. C is the initial value of y, and k is the
proportionality constant. Exponential growth occurs when k > 0, and
exponential decay when k < 0.
Situation
10 grams of plutonium isotope Pu-239 is released in some far off nuclear
research facility. They have exposed the 10 grams of Pu-239 to air, s

anonymous · Answer

seems like there are some information missing for this question.  10grams of Pu-239 would be the initial value, which is the constant C.  You will need either half life of decay constant to determine the amount of isotopes in terms of time.

anonymous · Answer

You will need $$y=Ce ^{kt}$$ for exponential growth/decay