Question

If 800 grams of a radioactive substance reduces to 300 grams after 8 years, find the exponential decay function.y = 800e- 0.123ty = 800e0.123ty = 300e0.123ty = 300e- 0.123t

Answer 1

We have to remember that exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula

`N(t)=N_0e^(-\lambda t)`

where N(t) is the quantity at time t, N0 = N(0) is the initial quantity, that is, the quantity at time t = 0, and the constant λ is called the decay constant

Thus, the initial quantity is 800 and the decay constant is 0.123, the exponential decay function is

`y=800e^(-0.123t)`

The correct answer is the first one.