Math Exploration

download print

About this sample

About this sample


Words: 395 |

Page: 1|

2 min read

Published: Feb 12, 2019

Words: 395|Page: 1|2 min read

Published: Feb 12, 2019

For my SL math exploration, I have chosen to model the carrying capacity of earth. Carrying capacity is a variable which denotes the number of people, other living organisms, or crops that a region can support without environmental degradation. In this exploration, I will be using different mathematical models to explore the growth rate of a population and at what point the population reaches the carrying capacity of earth. Reproduction is proportional to the number of individuals. In exponential growth, the population grows faster and faster, continuing to double in size at regular intervals. Exponential growth may be a good model for early stage populations such as bacteria.

'Why Violent Video Games Shouldn't Be Banned'?

However, exponential cannot continue for long for a population to reach an enormous value. Exponential growth cannot continue for long because the environment in which the population lives cannot support an infinite large population of species. Based on the amount of available food, space, water, and other essentials, an environment will have a carrying capacity. As a result, as the populations reach the environmental limits, the growth rates decrease, and in other cases, even if the population reaches environmental limits, the growth rate will not change.

In any given environment, there is always going to be a constrain on its growth of the species that live in that environment. As mentioned before, these environmental limits may be lack of resources such as food, water, space, etc. These limitations act as a 'ceiling' to the growth of the population. Populations may grow and gradually reach a maximum size, or they will continue to grow without a change in the growth rate. To be more concrete, there are 2 different types of population growth: logistic and exponential. These two functions have been evidently and accurately verified as the only models for population growth of species.

Get a custom paper now from our expert writers.

In nature, populations start by growing rapidly and exponentially however, due to environmental restrictions, they are limited. Although the following reasons are only fatal and don't have association with the carrying capacity, a population's growth rate may also slow down due to drop in fertility and birth rates, increase in mortality as a result of lack of health care, violence, disease, and other natural catastrophes. In logistic growth, the growth rate decreases as the population approaches a maximum size determined by the environmental setting, known as the carrying capacity. The variable 'K' represents carrying capacity.

Image of Dr. Charlotte Jacobson
This essay was reviewed by
Dr. Charlotte Jacobson

Cite this Essay

Math Exploration. (2019, February 11). GradesFixer. Retrieved June 20, 2024, from
“Math Exploration.” GradesFixer, 11 Feb. 2019,
Math Exploration. [online]. Available at: <> [Accessed 20 Jun. 2024].
Math Exploration [Internet]. GradesFixer. 2019 Feb 11 [cited 2024 Jun 20]. Available from:
Keep in mind: This sample was shared by another student.
  • 450+ experts on 30 subjects ready to help
  • Custom essay delivered in as few as 3 hours
Write my essay

Still can’t find what you need?

Browse our vast selection of original essay samples, each expertly formatted and styled


Where do you want us to send this sample?

    By clicking “Continue”, you agree to our terms of service and privacy policy.


    Be careful. This essay is not unique

    This essay was donated by a student and is likely to have been used and submitted before

    Download this Sample

    Free samples may contain mistakes and not unique parts


    Sorry, we could not paraphrase this essay. Our professional writers can rewrite it and get you a unique paper.



    Please check your inbox.

    We can write you a custom essay that will follow your exact instructions and meet the deadlines. Let's fix your grades together!


    Get Your
    Personalized Essay in 3 Hours or Less!

    We can help you get a better grade and deliver your task on time!
    • Instructions Followed To The Letter
    • Deadlines Met At Every Stage
    • Unique And Plagiarism Free
    Order your paper now