Answer :
Final answer:
To determine the bacterial population after 14 hours, exponential growth is calculated with a 15% per hour growth rate on an initial population of 49,000 bacteria.
Explanation:
Dr. Benton is studying a bacterial colony with an initial population of 49,000 bacteria that grows at a rate of 15% per hour. To calculate the population of the bacteria after 14 hours of growth, we can use the formula for exponential growth:
P = P0 × (1 + r)t
Where:
- P is the final population
- P0 is the initial population
- r is the growth rate per period (in this case, per hour)
- t is the number of periods (hours)
Using the given numbers:
P = 49,000 × (1 + 0.15)14
After doing the calculation, we can find the population of the bacteria colony in 14 hours.
