# GATE2017-48

Growth of a microbe in a test tube is modeled as $\dfrac{dX}{dt} = rX \bigg (1 – \dfrac{X}{K}\bigg )$, where, $X$ is the biomass, $r$ is the growth rate, and $K$ is the carrying capacity of the environment $(r \neq O; K \neq 0)$. If the value of starting biomass is $\dfrac{K}{100}$, which one of the following graphs qualitatively represents the growth dynamics?