Exponential Growth and Decay (VCE SSCE Mathematical Methods): Flashcards

Rate of change proportional to current value

$A = A_0e^{kt}$

Exponential growth

Exponential decay

$A = A_0b^t$ where $b = e^k$

Time for population to double

$N = N_0 2^{\frac{t}{T_D}}$

Time for half of material to decay

$A = A_0e^{-kt}$

Ensures accuracy in subsequent calculations