# 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

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Expert Answers

mathlete13 | 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**.

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