At the beginning of an experiment, the number of bacteria in a colony was counted at time t=O. The number of bacteria in the colony t minutes after the initial count modeled by the function B(t)=9(3)^t. What is the average rate of change in the number of bacteria over the first 6 minutes of the experiment?

1092

Step-by-step explanation:

We have been given that the number of bacteria in the colony t minutes after the initial count modeled by the function . We are asked to find the average rate of change in the number of bacteria over the first 6 minutes of the experiment.

We will use average rate of change formula to solve our given problem.

Upon substituting our given values, we will get:

Therefore, the average rate of change in the number of bacteria is 1092 bacteria per minute.

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