In both formulas A 0 is the original amount present at time t 0. Four variables percent change time the amount at the beginning of the time period and the amount at the end of the time period play roles in exponential functions. F x A e k x 5 e ln 2 ln 5 4 3 e 0.
The exponential decay function is y gt abt where a 1000 because the initial population is 1000 frogs The annual decay rate is 5 per year stated in the problem.
A quantity is subject to exponential decay if it decreases at a rate proportional to its current value. T 60 minutes. In mathematics exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. T time number of periods.