Alab worker monitors the growth of a bacteria colony starting at 9: 00 a. m. at that time, there are 100 bacteria. according to the exponential function f(x) = 100(4)x, the bacteria quadruple every hour. which equation could you use to determine the number of bacteria in the colony after 6 hours?

We know that the exponential growth of the Bacteria's population is model by the function , so to find the number of bacteria after 6 hours, we just need to evaluate our function at . In other words, we are going to replace  with 6 in our function:




We can conclude that the we should use the equation: to find the number of bacteria in the colony after 6 hours. Evaluating the function we get that the number is 409,600.