For bounce 1, the height is predicted by multiplying

Chapter 3, Problem 272

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For bounce 1, the height is predicted by multiplying bounce height 0, or H, by the percentage P. The second height is predicted by multiplying this height HP by P, which gives the \(H P^{2}\). Explain why \(y=H P^{x}\) is the appropriate model for these data, where x is the bounce number.

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