A rubber ball is bounced from a height of 9 meters and bounces continuously .Each successive bounce reaches a height that is a t
hrid of the previous height. If the ball continues to bounce in this way, what height will the ball reach during the sixth bounce?
2 answers:
Answer:
1/81 meters
Step-by-step explanation:
Since it reaches a height of 1/3 the previous height after each bounce, we can set up an equation for "y", the balls height, after x bounces:

Therefore, to find the ball's height after 6 bounces we just plug-in 6 for x in the equation above to get 1/81.
Hope this helps :)
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