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Karolina [17]
4 years ago
7

The height that a properly inflated basketball bounces decreases exponentially by 27.8% with each subsequent bounce after the in

itial 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?
Mathematics
1 answer:
n200080 [17]4 years ago
3 0

Answer:

H (b) = 0.722^b(6)

Step-by-step explanation:

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

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

H (b) = 0.722^b(6)

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Step-by-step explanation:

Proportionality describes any relationship that is always in the same

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If two quantities x and y are in proportionality, then

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∵ x ⇒    6    ,    7      ,    8    ,    9

∵ y ⇒    21   ,   24.5 ,    28  ,    31.5  

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∴ y = k x

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∵ x = 6 and y = 21

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- Divide both sides by 6

∴ k = 3.5

- Use x = 7 and y = 24.5 to find the value of k

∵ x = 7 and y = 24.5

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- Use x = 8 and y = 28 to find the value of k

∵ x = 8 and y = 28

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The constant of proportionality k is 3.5

Learn more:

You can learn more about proportionality in brainly.com/question/10708697

#LearnwithBrainly

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