A biologist observes a population of 800 bacteria that doubles every 3 hours. How many bacteria are present after 15 hours? - Appcentric
Title: How Bacterial Populations Grow: A Biologist’s Insight into Exponential Growth Over 15 Hours
Title: How Bacterial Populations Grow: A Biologist’s Insight into Exponential Growth Over 15 Hours
When studying microbial populations, one key concept biologists observe is exponential growth. A fascinating example involves a bacterial colony starting with 800 cells that doubles every 3 hours. Understanding how many bacteria emerge after 15 hours reveals powerful principles of population dynamics.
The Doubling Pattern of Bacteria
Understanding the Context
In this study, a biologist begins monitoring a bacterial population of 800 cells. Since the population doubles every 3 hours, the growth follows a clear pattern:
- Generation time: Every 3 hours, the number of bacteria multiplies by 2.
- Total observation time: 15 hours
- Time intervals: 15 ÷ 3 = 5 doubling periods
Calculating Population After 15 Hours
Using the doubling model, the population after n doubling periods is calculated by:
Final population = Initial count × 2^n
Key Insights
Here, n = 5, so:
Final population = 800 × 2⁵
2⁵ = 32
800 × 32 = 25,600 bacteria
Real-World Implications
This exponential growth demonstrates why controlling bacterial populations is critical in medicine, food safety, and environmental science. Without intervention, even a small inoculum can rapidly become overwhelming. Biologists use such models to predict infection rates, optimize antibiotic treatments, and design sterilization protocols.
Conclusion
A simple bacterial culture of 800 cells, doubling every 3 hours, grows exponentially to 25,600 bacteria after just 15 hours. This insight underscores the importance of early observation and intervention in managing biological systems. For researchers and healthcare professionals, understanding population doubling time is essential in predicting and controlling microbial communities.
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