Robin dropped a lacrosse ball from a building. After each bounce the height of the ball is measured and recorded in the table. What is the height of the ball after bounce 7?
![Robin dropped a lacrosse ball from a building After each bounce the height of the ball is measured and recorded in the table What is the height of the ball afte class=](https://us-static.z-dn.net/files/d7d/d8f75ab382239d9fa4c006dbba46cfa7.png)
Answer:
2.5 cm
Step-by-step explanation:
From the first 4 bounces, we find that the height of the lacrosse ball after each bounce is 1/4 the height that it was after the previous bounce. Therefore, since the 7th bounce is 6 bounces after the first bounce, we can set up an equation to find the balls height (y), after some number of bounces after the first one:
[tex]y=10240*(\frac{1}{4})^x[/tex].
Plug-in 6 for x to get 2.5.
Hope this helps :)