AP BIOLOGY

Detailed explanation-1: -In logistic growth, a population’s per capita growth rate gets smaller and smaller as population size approaches a maximum imposed by limited resources in the environment, known as the carrying capacity ( K). Exponential growth produces a J-shaped curve, while logistic growth produces an S-shaped curve.

Detailed explanation-2: -A logistic growth curve is an S-shaped (sigmoidal) curve that can be used to model functions that increase gradually at first, more rapidly in the middle growth period, and slowly at the end, leveling off at a maximum value after some period of time.

Detailed explanation-3: -Answer and Explanation: An S-shaped population curve represents logistic growth. The lower curve of the S is formed as a small population grows exponentially.

Detailed explanation-4: -In logistic growth the population increases in an exponential manner initially and then as the population size nears the carrying capacity of the population the growth rate decreases and at the carrying capacity growth ceases and the graph flattens out. Thus this forms an S-shaped curve.

Detailed explanation-5: -The growth of the population eventually slows nearly to zero as the population reaches the carrying capacity (K) for the environment. The result is an S-shaped curve of population growth known as the logistic curve.