Question
The function to bacteria growth is B(h)=82(1.25)h
.
B(h)
represents the number of bacteria and h
represents the number of hours. How much bacteria will be there after 5 12
hours? Find B(5 12)
, round your answer to the nearest whole number.
.
B(h)
represents the number of bacteria and h
represents the number of hours. How much bacteria will be there after 5 12
hours? Find B(5 12)
, round your answer to the nearest whole number.
Answers
GPT-4o mini
To find the number of bacteria after \( 5 \frac{1}{2} \) hours using the function \( B(h) = 82(1.25)^h \), we first need to convert \( 5 \frac{1}{2} \) into a fraction or a decimal.
\( 5 \frac{1}{2} = 5.5 \) hours.
Now we will substitute \( h = 5.5 \) into the function:
\[
B(5.5) = 82(1.25)^{5.5}
\]
Now we calculate \( (1.25)^{5.5} \):
\[
(1.25)^{5.5} \approx 3.052857
\]
Now substitute this value back into the equation:
\[
B(5.5) = 82 \times 3.052857 \approx 250.33
\]
Rounding to the nearest whole number:
\[
B(5.5) \approx 250
\]
Therefore, the number of bacteria after \( 5 \frac{1}{2} \) hours is approximately **250**.
\( 5 \frac{1}{2} = 5.5 \) hours.
Now we will substitute \( h = 5.5 \) into the function:
\[
B(5.5) = 82(1.25)^{5.5}
\]
Now we calculate \( (1.25)^{5.5} \):
\[
(1.25)^{5.5} \approx 3.052857
\]
Now substitute this value back into the equation:
\[
B(5.5) = 82 \times 3.052857 \approx 250.33
\]
Rounding to the nearest whole number:
\[
B(5.5) \approx 250
\]
Therefore, the number of bacteria after \( 5 \frac{1}{2} \) hours is approximately **250**.