A bacteria culture grows according to the equation B(t)=1200(1.3)^t, where B(t) represents the number of bacteria after t hours. Which of the following data Is possible or not possible for the culture to have after 5 hours? Round to the nearest ones
5,000
4,456
3,965
To find the number of bacteria after 5 hours, we substitute t = 5 into the equation:
B(5) = 1200(1.3)^5
B(5) = 1200(4.287)
B(5) ≈ 5144
Therefore, it is possible for the culture to have 5,000 bacteria after 5 hours, but not possible to have 4,456 or 3,965 bacteria.