Questions: In the equation (r N(1-fracNK)) what does (r) represent? (A) Population size and carrying capacity together (B) Carrying capacity (C) Intrinsic growth rate (D) Population size (E) None of these are correct

The answer is (C): Intrinsic growth rate.

Explanation for each option: (A) Population size and carrying capacity together: This option is incorrect because $r$ does not represent a combination of population size and carrying capacity. Instead, $r$ is a separate parameter in the equation.

(B) Carrying capacity: This option is incorrect because the carrying capacity is represented by $K$ in the equation, not $r$.

(C) Intrinsic growth rate: This option is correct. In the given equation, $r$ represents the intrinsic growth rate of the population. This is the rate at which the population would grow if there were no limitations on resources.

(D) Population size: This option is incorrect because the population size is represented by $N$ in the equation, not $r$.

(E) None of these are correct: This option is incorrect because option (C) correctly identifies $r$ as the intrinsic growth rate.

Summary: In the equation \( r N \left(1 - \frac{N}{K}\right) \), $r$ represents the intrinsic growth rate of the population.