Answer:
15595 bacteria will be present after 13 hours.
Step-by-step explanation:
Continuous population growth:
The continuous population growth model, for the population after t hours, is given by:
In which P(0) is the initial population and r is the growth rate.
Started with 5000 bacteria
This means that
So
After three hours it grew 6500 bacteria:
This means that . We use this to find r.
So
How many bacteria will be present after 13 hours?
This is P(13). So
Rounding to the nearest whole number
15595 bacteria will be present after 13 hours.