After 3 hours the number of bacteria in a culture is observed to have doubled. Find the number of bacteria present after 8 hours.
already did this above
To find the number of bacteria present after 8 hours, we first need to determine the growth rate of the bacteria per hour.
Since the number of bacteria doubles every 3 hours, we can calculate the growth rate by using the formula:
Growth rate = 2^(1/3)
Next, we can use the growth rate per hour to calculate the number of bacteria after 8 hours.
To do this, we multiply the initial number of bacteria by the growth rate raised to the power of the number of hours:
Number of bacteria after 8 hours = Initial number of bacteria * (Growth rate)^(Number of hours)
Let's assume that the initial number of bacteria is "N".
Therefore, the number of bacteria after 8 hours can be calculated as follows:
Number of bacteria after 8 hours = N * (2^(1/3))^8
Simplifying this equation will give us the final answer.