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 col
ony 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?
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.