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?

Round to the nearest whole number.

1 answer

To find the number of total bacteria after 3 hours, we can plug in t=3 into the function b(t)=100(1.06)^t:

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

So, the number of total bacteria after 3 hours is 119 (rounded to the nearest whole number).