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A bouncy ball is dropped such that the height of its first bounce is 3.5 feet and each successive bounce is 75% of the previous bounce's height. What would be the height of the 9th bounce of the ball? Round to the nearest tenth (if necessary). 

Respuesta :

carlosego
For this case, what we should do is write an equation of the potential type:
 y = A * (b) ^ x
 Where,
 A: initial height
 b: decrease rate of initial height
 x: number of bounces.
 We have then:
 y = 3.5 * (0.75) ^ x
 For the ninth bounce:
 y = 3.5 * (0.75) ^ x
 y = 0.26
 Answer:
 The height of the 9th bounce of the ball is:
 y = 0.26 feet.

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