Exponential Decay Function
Exponential Decay Function
\[y = ae^{-kx}\]
Variables
y = function value
a = initial value
k = decay constant
x = independent variable
Description
What is this formula?
This formula models exponential decay where the quantity decreases proportionally to its current value. The function decreases rapidly at first and then gradually approaches zero.
When to use it
Use this formula for processes involving continuous decay or reduction at a constant percentage rate.
Example
For:
a=500
k=0.3
x=4
y=500*(℮^(-0.3*4))
y=500*(℮^(-1.2))
y≈150.60
Applications
Radioactive decay
Battery discharge
Population decline
Thermal cooling
Signal attenuation
Chemical concentration reduction
Download the fCalc app to calculate this formula and thousands more:
