In the exponential growth model

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

P(t)=P_0 e^{k t}

, what does the constant

k

represent? (a)

\text{A fixed amount added each unit time}

(b)

\text{The instantaneous percentage growth rate per unit time}

(c)

\text{The total growth achieved after one time unit}

(d)

\text{The time required for the quantity to double}