The number of atoms that decay in a certain time is proportional to the amount of substance left. This naturally leads to the exponential function. The mathematical explanation - one that requires some basic calculus - is that the only function that is its own derivative (or proportional to its derivative) is the exponential function (or a slight variation of the exponential function).
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Usually it's modelled by an exponential, rather than a vector.
Exponential relationship!
746 in exponential from
4.75e3 in exponential notation is: 4.75 × 103
implementation of exponential groth