A colony of bacteria is growing exponentially, increasing in size from 200 to 500 cells in 100 minutes will it take the colony to double in size?
To determine how long it will take for the colony of bacteria to double in size, we need to find the doubling time. The doubling time is the amount of time it takes for a population to double in size.
In this case, we know that the colony of bacteria increased from 200 cells to 500 cells in 100 minutes. To find the doubling time, we can use the formula:
Doubling time = (time × ln(2)) / ln(final population / initial population)
Let's substitute the given values into the formula:
Doubling time = (100 × ln(2)) / ln(500/200)
Calculating this equation, we find:
Doubling time ≈ 144.88 minutes
Therefore, it will take approximately 144.88 minutes for the colony of bacteria to double in size.