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The height that a properly inflated basketball bounces decreases exponentially by 27.8% with each subsequent bounce after the initial drop. A local basketball league tests the inflation of their basketballs by dropping them from a height of 6 feet. Which equation can be used to model the height of the basketball, H, after b bounces?

Respuesta :

aramisdegaula1977

Answer:

[tex]H (b) = 0.722^b(6)[/tex]

Step-by-step explanation:

The first time the basketball bounces it reaches a height of [tex](1-0.278)(6) = (0.722) (6)[/tex].

The second time the basketball bounces it reaches a height of [tex](0.722) (0.722) (6) = [(0.722) ^ 2] (6)[/tex]. Therefore, after b rebounds the height that the basketball will reach is given by:

[tex]H (b) = 0.722^b(6)[/tex]

Answer:

H = 6(0.722)b

Step-by-step explanation:

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