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A rubber ball is bounced from a height of 9 meters and bounces continuously .Each successive bounce reaches a height that is a thrid of the previous height. If the ball continues to bounce in this way, what height will the ball reach during the sixth bounce?

Sagot :

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:

[tex]y=9*(\frac{1}{3})^x[/tex]

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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