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
1
2

hours to the nearest bacteria? What is B(5
1
2

)?(1 point)
Responses

564
564

279
279

257
257

280

Answer 1

B(5 1/2) = 82(1.25)^{5.5} ≈ 82 × 3.411969 ≈ 279.78, so to the nearest bacteria there are 280.