Answer: The required number of bacteria after 16 hours is 5400.
Step-by-step explanation: Given that a culture started with 3,000 bacteria and after 2 hours it grew to 3,300 bacteria.
We are to predict the number of bacteria that will be present after 16 hours.
We have
in 2 hours, the number of bacteria increased from 3000 to 3300.
So, in 2 hours, numbers of bacteria that grew = 3300 - 3000 = 300.
That is, in 1 hour, numbers of bacteria grew will be

Therefore, the number of bacteria that will grew in 16 hours is given by

Hence, the total number of bacteria that will preset after 16 hours will be

Thus, the required number of bacteria after 16 hours is 5400.