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 12 hours to the nearest bacteria? What is B(5 1/2) ?(1 point) Responses 564 564 279 279 280 280 257
To find the number of bacteria after 5 1/2 hours, we can substitute h = 5.5 into the function B(h) = 82(1.25)^h:
B(5.5) = 82(1.25)^5.5 ≈ 280.8
Rounded to the nearest bacteria, there will be approximately 281 bacteria after 5 1/2 hours.
Therefore, the correct answer is 280.