A bicycle wheel rotates 500 times in a minute as long as the rider is pedaling. If the rider stops pedaling, the wheel starts to slow down. Each minute it will rotate only 2/3 as many times as in the preceding minute. How many times will the wheel rotate in the 5th minute after the rider's feet leave the pedals? Round your answer to the nearest unit.

Question

hero · Answer

If the rider stops pedaling and we count from there, then in the first minute it will rotate

1st Minute
500× frac{2}{3}


2nd Minute
500×frac{2}{3}×frac{2}{3}


3rd Minute
$$500×\frac{2}{3}×\frac{2}{3}×\frac{2}{3}$$


etc...

hero · Answer

Yeah, I think you get it. But we still need the amount of times it rotates in the 5th minute.

hero · Answer

So how many times will it rotate in the fifth minute?

anonymous · Answer

66!

anonymous · Answer

thanks Hero :)

hero · Answer

Yup!

hero · Answer

What took you so long?

anonymous · Answer

I had to feed my dog lol I'm sorry