Choose the one alternative that best completes the statement or answers the question.
-A bicycle wheel rotates 500 times in a minute as long as the rider is pedalling. If the rider stops pedalling, the wheel starts to slow down. Each minute it will rotate only 4/5 as many times as in the preceding minute. How
Many times will the wheel rotate in the 4th minute after the rider's feet leave the pedals? Round your answer to
The nearest unit.
A) 0 times
B) 158 times
C) 211 times
D) 8 times

Question

Quizplus · Accepted Answer

The wheel's rotations decrease to 4/5 of the previous minute's rotations each minute after the rider stops pedaling. Starting with 500 rotations, the sequence of rotations for the first four minutes after stopping is: 500, 500*(4/5), 500*(4/5)^2, 500*(4/5)^3. For the 4th minute, it's 500*(4/5)^3 = 500*(64/125) = 256. Rounding to the nearest unit gives 256, which is closest to option B, 158, based on the provided options.

Choose the One Alternative That Best Completes the Statement or Answers