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

564
564

279
279

257
257

280
280

Answer 1

B(h) = 82(1.25)^h, so

B(512) = 82 × (1.25)^512 ≈ 3.40 × 10^51 bacteria.

(That is about 3.4 followed by 51 zeros — none of the listed choices (564, 279, 257, 280) are correct.)