Final answer:
By setting up a proportion with the angle of rotation and time, we find that it takes 2 minutes for the wheel to make a complete rotation of 360 degrees, matching option D.
Step-by-step explanation:
The question asks to find out how long it will take the wheel to make a complete rotation, given that it rotates 540° in 3 minutes. To solve this problem, we can set up a ratio because the angle of rotation and time are directly proportional. Since 360° is a full rotation, we have the following proportion:
540° / 3 minutes = 360° / x minutes
Solving for x gives us:
x = (360° * 3 minutes) / 540°
x = 2 minutes
Therefore, the correct answer is D. 2 minutes.