SOLUTION: a bicycle wheel rotates 300 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 m

Question 631110: a bicycle wheel rotates 300 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 4th minute after the rider's feet leaves the pedals? Round your answer to the nearest unit.
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Make the substitution
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When rider is pedaling:
rev/min
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At the end of 1 min after stops pedaling:

At end of 2 min:

At end of 3 min:

At end of 4 min:

------------

rev/min
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
a bicycle wheel rotates 300 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 4th minute after the rider's feet leaves the pedals? Round your answer to the nearest unit.
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The 1st minute it rotates 300*(2/3) = 200 revs
The 2nd it's 2/3 times that, etc
--> 300*(2/3)^4
= 4800/81
=~ 59 revs
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