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? (1 point) What is B(5 1/2)? bacteria

Answer 1

To find the number of bacteria after 5.5 hours, we need to evaluate the function \( B(h) = 82(1.25)^h \) at \( h = 5.5 \).

Let's calculate \( B(5.5) \):

\[ B(5.5) = 82(1.25)^{5.5} \]

First, we calculate \( (1.25)^{5.5} \):

\[ (1.25)^{5.5} \approx 3.834 \]

Now, multiply this result by 82:

\[ B(5.5) \approx 82 \times 3.834 \approx 314.268 \]

Rounding to the nearest whole number, we find:

\[ B(5.5) \approx 314 \]

Thus, the number of bacteria after 5.5 hours is approximately 314 bacteria.