Answer: The final population of Proteus vulgaris after 6 hours is [tex]3.71\times 10^{6}cells[/tex]
Explanation:
We are given:
Proteus vulgaris divides and doubles every 28 minutes
Total time given = 6 hours = 360 min (Conversion factor: 1 hr = 60 min)
Number of times Proteus vulgaris doubles in 6 hours = [tex]\frac{360min}{28min}=12.857times[/tex]
Calculating the number of bacteria after 6 hours under ideal conditions:
We are given:
Initial population = 500 cells
Number of times it doubles = 12.857 times
Final Proteus vulgaris population = [tex]500\times 2^{12.857}=3709476.8=3.71\times 10^{6}cells[/tex]
Hence, the final population of Proteus vulgaris after 6 hours is [tex]3.71\times 10^{6}cells[/tex]
