Question

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?

Answer 1

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.