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...

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 

Expert Answers
mathlete13 eNotes educator| Certified Educator

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:

`N=6582.8(1.1769)^9=28514.563...`

Therefore, the answer is D) 28,514 bacteria.

user7313508 | Student

MODEL:

N=6582.8(1.1769)t

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