Answer: There are 6400 bacteria that will be present after 3 hours.
Step-by-step explanation:
Since we have given that
Initial number of bacterial cells = 100
Each cell divides to form two new cells every 30 minutes.
Number of hours = 3 hrs
Number of minutes in 3 hours = 3\times 60 = 180 minutes
Number of 30 minutes in 3 hours = [tex]\dfrac{180}{30}=6[/tex]
So, our equation becomes,
[tex]P(x)=ab^x\\\\P(3)=100(2)^6\\\\P(3)=6400[/tex]
Hence, there are 6400 bacteria that will be present after 3 hours.
