Further Modelling with Functions (AQA A-Level Mathematics): Flashcards

Modelling situations with different functions over different intervals

$P(t) = P_0 \cdot e^{rt}$

Growth/decay at a rate proportional to current value

Acceleration, projectile motion, any relationship with squared terms

$h(t) = h_0 + v_0t - \frac{1}{2}gt^2$

Situations where growth slows down over time

$pH = -\log[H^+]$

$P(x) = R(x) - C(x)$

Differentiate profit function and set to zero