Question

The growth of a sample of bacteria can be modeled by the function bt=1001.06t 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)=1001.06t`

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)=1001.06t`

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

Substituting t=3, we get the number of total bacteria after 3 hours.

`b(3)=1001.06(3)`

`b(3)=3003.18`

Number of bacteria cannot be decimal value. So, approximate the value to the nearest whole number.

`b(3)\approx 3003`

Therefore, the number of total bacteria after 3 hours is about 3003.