Final answer:
The average rate of change in the number of bacteria for minutes 1 through 3 cannot be determined without knowing the initial count.
Step-by-step explanation:
The average rate of change in the number of bacteria for minutes 1 through 3 can be found by calculating the change in the number of bacteria divided by the change in time. Let's use the given information to find the average rate of change:
- At t=0, the number of bacteria is known.
- At t=3, the number of bacteria is 8000.
- The change in the number of bacteria is 8000 - (initial count).
- The change in time is 3 - 1 = 2 minutes.
- Divide the change in the number of bacteria by the change in time to find the average rate of change: (8000 - (initial count)) / 2.
Therefore, the average rate of change in the number of bacteria for minutes 1 through 3 is (8000 - (initial count)) / 2. The answer will depend on the value of the initial count, which is not provided in the question. Hence, none of the options given (a, b, c, d) can be determined without knowing the initial count.