The following graph shows exponential decay where A 5 and k 1. 1 2A0 Aoekt 1 2 A 0 A o e k t We find that the half-life depends only on the constant k and not on the starting quantity A0 A 0. If r 0 0 then the formula represents continuous growth.
Heres an exponential decay function.
R the decay rate. R the decay rate. Where C C C is the amount of a substance that were starting with k k k is the decay constant and y y y is the amount of the substance we have remaining after time t t t. For all real numbers r t and all positive numbers a continuous growth or decay is represented by the formula.