>_< i need help. mathh. confussedd?

Question

The diagram shown below represents the path of a ball that is dropped from a height of 18 feet. On its first bounce, the ball rebounds to a height of 12 feet; on its second bounce, it rebounds to a height of 8 feet.




[[[a]]]Show that the ratio of the height of Bounce 1 to the starting height is equal to the ratio of the height of Bounce 2 to the height of Bounce 1. Show your work or explain how you obtained your answer.

[[[b]]]Create a table like the one shown below in your Student Answer Booklet.
Bounce, b Height, h
(in feet)
0 (Starting height) 18
1 12
2 8
3
4
5

If the pattern in the table continues, complete your table to show the height of bounces 3, 4, and 5.

[[[c]]]Based on the pattern shown in the table, if h is the height of a certain bounce, write an expression that represents the height of the next bounce in terms of h.

[[[D]]]Based on the pattern shown in the table, write an equation that represents the relationship between height,

Answer 1

{A} bounce 1 ratio bounce to height = 12/18 =2/3
bounce 2 ratio bounce to height = 8/12 =2/3

{B} 1 12
2 8
3 16/3
4 32/9
5 64/27

{C} b= (2/3)h

{D} cant answer because the question is incomplete.

Answer 2

All this really means is that we expect each bounce of the ball to be 2/3 the height of the last one. I don't know if this is true, but on that assumption I would expect the next bounce to be 16/3 feet, etc ad infinitum. That is, just keep multiplying by 2/3.