Modelling with Exponentials & Logarithms (AQA A-Level Mathematics): Flashcards

$y = y_0 e^{kt}$

$y = y_0 e^{-kt}$

Initial value (value at $t = 0$)

$k > 0$

$\frac{\ln(2)}{k}$

$\frac{\ln(2)}{k}$

Variable in the index power

Population growth, investments, spread of diseases

Radioactive decay, depreciation, cooling processes

Multiplies $y$ by 2