Question
A ceiling fan can rotate 150.59 times per minute. The fan rotated a total of 3,764.75 times. Which of the following is true?
A. The fan rotated for 25 minutes
B. The fan rotated for 27 minutes
C. The fan rotated for 24 minutes
D. The fan rotated for 26 minutes
A. The fan rotated for 25 minutes
B. The fan rotated for 27 minutes
C. The fan rotated for 24 minutes
D. The fan rotated for 26 minutes
Answers
GPT-4o mini
To find how long the fan rotated in minutes, we can use the following formula:
\[
\text{Time (in minutes)} = \frac{\text{Total rotations}}{\text{Rotations per minute}}
\]
Given that the fan rotated a total of 3,764.75 times and has a rotation speed of 150.59 times per minute, we can plug in the values:
\[
\text{Time} = \frac{3,764.75 \text{ rotations}}{150.59 \text{ rotations per minute}}
\]
Calculating this:
\[
\text{Time} \approx 24.98 \text{ minutes}
\]
Since 24.98 minutes is very close to 25 minutes, we can conclude that:
**A. The fan rotated for 25 minutes** is the true statement.
\[
\text{Time (in minutes)} = \frac{\text{Total rotations}}{\text{Rotations per minute}}
\]
Given that the fan rotated a total of 3,764.75 times and has a rotation speed of 150.59 times per minute, we can plug in the values:
\[
\text{Time} = \frac{3,764.75 \text{ rotations}}{150.59 \text{ rotations per minute}}
\]
Calculating this:
\[
\text{Time} \approx 24.98 \text{ minutes}
\]
Since 24.98 minutes is very close to 25 minutes, we can conclude that:
**A. The fan rotated for 25 minutes** is the true statement.