3.2 Logistic & Exponential Growth

1. What is the approximate carrying capacity of this population?

55

65

20

5

The approximate carrying capacity of this population is 65. This means that the population can sustainably support around 65 individuals without depleting its resources or causing harm to the environment. This is the maximum number of individuals that the population can support in the long term.

Explanation

The approximate carrying capacity of this population is 65. This means that the population can sustainably support around 65 individuals without depleting its resources or causing harm to the environment. This is the maximum number of individuals that the population can support in the long term.

2. Which graph shows logistic population growth?

3. When is the population of rabbits growing exponentially?

May - Sept

April - October

August - Sept

June - July

The population of rabbits is growing exponentially in June - July because this is the breeding season for rabbits. During this time, rabbits reproduce at a rapid rate, resulting in a significant increase in their population.

Explanation

The population of rabbits is growing exponentially in June - July because this is the breeding season for rabbits. During this time, rabbits reproduce at a rapid rate, resulting in a significant increase in their population.

4. A species of plant has exponential growth after it is introduced into an area where it has never been. Which statement best describes exponential growth?

Each individual plant grows much larger than usual.

The population immediately decreases.

Within a few years the population increases dramatically.

The species cannot reproduce as well in a new habitat.

Exponential growth refers to a rapid and continuous increase in population size over time. In the context of the given question, the introduction of a species of plant into a new area where it has never been before would lead to exponential growth. This means that within a few years, the population of the plant species would increase dramatically, as it adapts to and thrives in the new habitat.

Explanation

Exponential growth refers to a rapid and continuous increase in population size over time. In the context of the given question, the introduction of a species of plant into a new area where it has never been before would lead to exponential growth. This means that within a few years, the population of the plant species would increase dramatically, as it adapts to and thrives in the new habitat.

5. Which of the following is not an example of exponential growth?

Deer on the Probilof Islands after eating most of the grass in the area

Mold appearing on bread overnight

Rabbit populations after being introduced to a new habitat with lots of food and space

A tree population, after seeds are planted in an area with unlimited sunlight, water, and minerals

The exponential growth is characterized by a rapid and continuous increase in population size over time. In the given options, all except "Deer on the Probilof Islands after eating most of the grass in the area" demonstrate conditions that are favorable for population growth. The deer population on the Probilof Islands would not exhibit exponential growth because their food source, grass, has been depleted, which would limit their ability to reproduce and increase in numbers.

Explanation

The exponential growth is characterized by a rapid and continuous increase in population size over time. In the given options, all except "Deer on the Probilof Islands after eating most of the grass in the area" demonstrate conditions that are favorable for population growth. The deer population on the Probilof Islands would not exhibit exponential growth because their food source, grass, has been depleted, which would limit their ability to reproduce and increase in numbers.