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.

Answer 1

To find the number of total bacteria after 3 hours, we need to substitute t = 3 into the function b(t) and solve for b:

b(3) = 100(1.06)^3
b(3) = 100(1.191016)
b(3) ≈ 119 bacteria

Therefore, the number of total bacteria after 3 hours is approximately 119.