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Question

Question
Bacteria is known to grow exponentially. The function  B(h)=82(1.25)^h
 represents the number of bacteria,  B(h)
, as a function of hours, h. How many bacteria will there be after only  5 and 1/2
hours to the nearest bacteria? What is  B(5 and 1/2)
?(1 point)
Responses

257
257

279
279

564
564

280
280
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Answer 1

To find the number of bacteria after 5 and 1/2 hours, we can substitute 5.5 into the function B(h).

B(5 and 1/2) = 82(1.25)^(5.5)

Using a calculator to compute this value, we find that B(5 and 1/2) is approximately 279.

Therefore, the correct answer is 279.