When can exponential growth happen?
Understand the Problem
The question is asking about the conditions or situations in which exponential growth can occur. This can relate to various fields such as biology (population growth), finance (compound interest), or technology (growth of digital data). Understanding the factors that contribute to exponential growth is key.
Answer
When the growth rate is proportional to the quantity itself.
Exponential growth happens when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself.
Answer for screen readers
Exponential growth happens when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself.
More Information
Exponential growth can also be explained by common situations, such as populations experiencing no restrictions on resources or environment, and financial investments growing at a consistent percentage.
Sources
- The web page with info on - Wikipedia: Exponential Growth - en.wikipedia.org
- Exponential Growth: Definition, Examples, and Formula - Investopedia - investopedia.com
- 45.2A: Exponential Population Growth - Biology LibreTexts - bio.libretexts.org
