Final answer:
The formula to calculate the number of bacteria after a certain amount of time is N = N0 * 2^(t/g), where N is the final number of bacteria, N0 is the initial number of bacteria, t is the time in minutes, and g is the generation time in minutes.
Step-by-step explanation:
The formula to calculate the number of bacteria after a certain amount of time is:
Where N is the final number of bacteria, N0 is the initial number of bacteria, t is the time in minutes, and g is the generation time in minutes.
In this case, the initial number of bacteria is 5 and the generation time is 20 minutes. To calculate the number of bacteria after 8 hours (480 minutes), we can plug in these values into the formula:
Simplifying the equation, we get:
Using a calculator, the result is approximately 167772160 bacteria after 8 hours.