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1.The growth of a sample of bacteria can be modeled by the function b(t)=100(1.06)t where b is the number of bacteria and t is time in hours.

What is the number of total bacteria after 3 hours?

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Given:

The growth of a sample of bacteria can be modeled by the function


b(t)=100(1.06)^t

where, b is the number of bacteria and t is time in hours.

To find:

The number of total bacteria after 3 hours.

Solution:

We have,


b(t)=100(1.06)^t

Here, b(t) number of total bacteria after t hours.

Substitute t=3 in the given function, to find the number of total bacteria after 3 hours.


b(t)=100(1.06)^3


b(t)=100(1.191016)


b(t)=119.1016

Therefore, the number of total bacteria after 3 hours is 119.1016.

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