Question
4. 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 5.5 hours to the nearest bacteria? Desmos Calculator (click here) (1 point) B(5.5) =
Answers
GPT-4o mini
To find the number of bacteria after 5.5 hours using the function \( B(h) = 82(1.25)^h \), substitute \( h = 5.5 \) into the equation:
\[
B(5.5) = 82(1.25)^{5.5}
\]
Now, calculate \( (1.25)^{5.5} \):
\[
(1.25)^{5.5} \approx 3.731
\]
Then multiply this by 82:
\[
B(5.5) \approx 82 \times 3.731 \approx 305.2
\]
Rounding to the nearest bacteria gives:
\[
B(5.5) \approx 305
\]
So, there will be approximately **305** bacteria after 5.5 hours.
\[
B(5.5) = 82(1.25)^{5.5}
\]
Now, calculate \( (1.25)^{5.5} \):
\[
(1.25)^{5.5} \approx 3.731
\]
Then multiply this by 82:
\[
B(5.5) \approx 82 \times 3.731 \approx 305.2
\]
Rounding to the nearest bacteria gives:
\[
B(5.5) \approx 305
\]
So, there will be approximately **305** bacteria after 5.5 hours.