A solution to a logistic model is given by

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

Problem

A solution to a logistic model is given by S(t)=1001+9e−0.3tS(t)=\dfrac{100}{1+9e^{-0.3t}}. What is lim⁡t→∞S(t)\displaystyle \lim_{t\to\infty} S(t)? (a) 1010 (b) 1009\dfrac{100}{9} (c) 100100 (d) 00

Related theory

Browse the problem library