Question

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?

Answer 1

1/81 meters

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:

`y=9*((1)/(3))^x`

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 :)