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 512
hours to the nearest bacteria? What is B(512)
?(1 point)
Responses

279
279

564
564

257
257

280

Answer 1

Likely the problem means 5 1/2 hours (written as 5½), not "512". For h = 5.5:

B(5.5) = 82(1.25)^{5.5} ≈ 279.86 ≈ 280 bacteria.

(If you really meant h = 512, B(512) ≈ 3.40 × 10^51, which is astronomically large.)