When dropped, a super ball will bounce back to 80% of its peak height,continuing on in this way for each bounce.

For example, if a super ball is dropped from 20 feet, the first bounce will be
16 feet high. The second bounce will be 12.8 feet high.


Question: Write an expression for the height of the nth bounce.

Respuesta :

An expression for the height of the nth bounce is 0.80X^N = Height.

Equations

Since when dropped, a super ball will bounce back to 80% of its peak height, continuing on in this way for each bounce, to determine an expression for the height of the nth bounce the following calculation must be performed:

  • X = Initial value
  • 80% = 0.80
  • N = Number of times the ball bounces
  • 0.80X^N = Height

Therefore, an expression for the height of the nth bounce is 0.80X^N = Height.

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