Final answer:
The size of the bacteria population after 4 hours is 3500 bacteria. The size of the population after 80 minutes is approximately 2696 bacteria.
Step-by-step explanation:
The size of the bacteria population after 4 hours can be found using exponential growth formula. We can use the initial population (2000) and the growth factor to calculate the population after 4 hours. Given that the population grew from 2000 to 3500 after 3 hours, the growth factor would be 3500/2000 = 1.75.
So, after 4 hours, the population would be 2000 * 1.75 = 3500 bacteria
To find the size of the population after 80 minutes, we need to convert the time to hours. There are 60 minutes in an hour, so 80 minutes is equal to 80/60 = 1.333 hours.
Using the growth factor of 1.75, the population after 1.333 hours would be 2000 * 1.75^1.333 ≈ 2696 bacteria.