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
[tex]n_1=\dfrac{300}{2}=150.[/tex]
Therefore, the number of bacteria that will grew in 16 hours is given by
[tex]150\times 16=2400.[/tex]
Hence, the total number of bacteria that will preset after 16 hours will be
[tex]3000+2400=5400.[/tex]
Thus, the required number of bacteria after 16 hours is 5400.
