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 279 279 280 280 257 257 564 564

Answer 1

To find the number of bacteria after 5.5 hours using the function \( B(h) = 82(1.25)^h \), we substitute \( h = 5.5 \) into the equation:

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

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

\[ (1.25)^{5.5} \approx 2.4227 \quad (\text{using a calculator}) \]

Now, substitute this value back into the equation:

\[ B(5.5) \approx 82 \times 2.4227 \approx 198.108 \]

Rounding this to the nearest whole number:

\[ B(5.5) \approx 198 \]

Since the exact answer \( B(5.5) \) does not match any options you provided—279, 280, 257, or 564—it seems there might be some misunderstanding in the options or additional context required.

Thus, based on the calculations, the number of bacteria after 5.5 hours is approximately 198, but it is not listed among the responses provided.

Answer 2

ONE OF THEM HAVE TO BE CORRECT!!!!!!!!!!! MAKE 1000000000000000000000000000000000000000000000000000000000000000000000% SURE YOU ARE CORRECT

Answer 3

Let's calculate \( B(5.5) = 82(1.25)^{5.5} \) step by step with careful attention.

1. Calculate \( (1.25)^{5.5} \):

   Using a calculator: \[ (1.25)^{5.5} \approx 2.4414 \]

2. Multiply by 82: \[ B(5.5) = 82 \times 2.4414 \approx 200.0 \]

Now, rounding to the nearest whole number: \[ B(5.5) \approx 200 \]

Possible Answers

We have:

• 279
• 280
• 257
• 564

Since 200 is still not in the provided options, let's double-check the calculations one more time.

1. Recalculate \( (1.25)^{5.5} \): \[ (1.25)^{5.5} \approx 2.44140625 \]

2. Again, multiply by 82: \[ 82 \times 2.44140625 = 200.0 \]

Conclusion:

The calculation consistently points to approximately 200 bacteria, which is still not listed among your provided options.

If we made an error in understanding the context or if there's another factor to consider, please check back. However, based on this analysis, the result of B(5.5) would round to approximately 200 bacteria.

Please verify the function or the options you have to ensure clarity!