The formula $N_t = N_0 e^{rt}$ represents which type of growth?

Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A$: The logistic growth model of populations is considered more realistic than the exponential growth model.
Reason $R$: Resources are finite.
In the light of the above statements, choose the most appropriate answer from the options given below:

Logistic growth is represented by which equation?

Consider a population of $10$ million cells. Given the per-capita birth rate of $0.002$ (per unit time) and the per-capita death rate of $0.002$ (per unit time), the expected number of cells after $10$ generations is

Which model is considered a more realistic one?

$A$: Environmental resistance operates to slow down the exponential phase in logistic population growth.
$R$: $A$ crash phase does not occur in this population.