A colony of bacteria is growing exponentially according to the function below, where t is in hours. How many bacteria are there after 8 hours? Round to the nearest integer and do not include units in your answer. B(t) = 4 e0.8t

Answer :

meerkat18
To be able to determine the number of bacteria after 8 hours, substitute 8 for all the t's in the given function.
                            B(t) = 4 x e^0.8t
                        B(8) = 4 x e^(0.8)(8)
The numerical value of B(8) is 2407.38. Therefore, there are approximately 2407 bacteria. 
MrRoyal

There are 2407 bacteria left in the colony after 8 hours

How to determine the number of bacteria?

The equation is given as:

B(t) = 4e^(0.8t)

At the 8th hour, the value of t is:

t = 8

So, we have:

B(8) = 4e^(0.8 * 8)

Evaluate

B(8) = 2407.38015149

Approximate

B(8) = 2407

Hence, there are 2407 bacteria left after 8 hours

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