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 the time in hours

What is the number of total bacteria after 3 hours?
Round to the nearest whole number.

1 answer

Plug in t = 3 into the given function:

b(3) = 100(1.06)^3
b(3) = 100(1.191016)
b(3) ≈ 119.102

Rounded to the nearest whole number, the number of total bacteria after 3 hours is 119.