The graph in exponential growth will be

In a hypothetical population of $100$ individuals with an intrinsic rate of increase $(r)$ of $0.5$ per female per year,if the population exhibits exponential growth,what will be the population size after $6$ years? (Given $e = 2.72$)

$I.$ Populations evolve to maximize their reproductive fitness,also called Darwinian reproductive fitness (higher $r$ value),in the habitat in which they live.
$II.$ The population growth rate $r$ is inversely related to generation time.
$III.$ The housefly,which has a short life span and produces a large number of eggs,could be considered as a '$K$' selected species.
$IV.$ Under a particular set of selection pressures,organisms evolve towards the most efficient reproductive strategies.
$V.$ Life history traits of organisms have evolved in relation to the constraints imposed by biotic and abiotic factors in their habitat.
Select the combination of correct statements.

High growth at the time of the exponential phase of the human population growth curve is due to:

Which one of the following equations represents the Verhulst$-$Pearl Logistic Growth of population?

The population growth curves are given below. Identify the equations for $P$ and $Q$.