The bacteria in a culture grows according to the model ``N=6582.8(1.1769)^t` `, where t is time in hours. How many bacteria will be observed after 9 hours?
A) 39, 495 bacteria
B) 768.28 bacteria
C) 6914.52 bacteria
D) 28, 514 bacteria
Since you are given the model for the number of bacteria, N, present in the culture and know that the amount of time, t, of interest is 9 hours, substitute 9 into the model for t and calculate:
Therefore, the answer is D) 28,514 bacteria.