A bouncy ball is dropped such that the height of its first bounce is 6.75 feet and each successive bounce is 74% of the previous bounce's height. What would be the height of the 6th bounce of the ball? Round to the nearest tenth (if necessary). Answer: □ feet

Question

A bouncy ball is dropped such that the height of its first bounce is 6.75 feet and each successive bounce is  74% of the previous bounce's height. What would be the height of the 6th bounce of the ball? Round to the nearest tenth (if necessary). Answer: □ feet

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Identify Initial Height and Percentage: Identify the initial height of the first bounce and the percentage decrease for each successive bounce. The initial height (h1) is 6.75 feet, and each bounce is 74% of the previous bounce's height.Calculate Second Bounce Height: Calculate the height of the second bounce. The height of the second bounce (h2) is 74% of the first bounce. h2 = h1 * 0.74 h2 = 6.75 * 0.74 h2 = 4.995 feetCalculate Third Bounce Height: Calculate the height of the third bounce. The height of the third bounce (h3) is 74% of the second bounce. h3 = h2 * 0.74 h3 = 4.995 * 0.74 h3 = 3.6963 feetCalculate Fourth Bounce Height: Calculate the height of the fourth bounce. The height of the fourth bounce (h4) is 74% of the third bounce. h4 = h3 * 0.74 h4 = 3.6963 * 0.74 h4 = 2.735462 feetCalculate Fifth Bounce Height: Calculate the height of the fifth bounce. The height of the fifth bounce (h5) is 74% of the fourth bounce. h5 = h4 * 0.74 h5 = 2.735462 * 0.74 h5 = 2.02404188 feetCalculate Sixth Bounce Height: Calculate the height of the sixth bounce. The height of the sixth bounce (h6) is 74% of the fifth bounce. h6 = h5 * 0.74 h6 = 2.02404188 * 0.74 h6 = 1.49779101 feetRound Sixth Bounce Height: Round the height of the sixth bounce to the nearest tenth. h6 ≈ 1.5 feet

A bouncy ball is dropped such that the height of its first bounce is $6$ . $75$ feet and each successive bounce is $74 \%$ of the previous bounce's height. What would be the height of the $6$ th bounce of the ball? Round to the nearest tenth (if necessary). $\newline$ Answer: $\square$ feet

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A bouncy ball is dropped such that the height of its first bounce is 666.757575 feet and each successive bounce is 74% 74 \% 74% of the previous bounce's height. What would be the height of the 666th bounce of the ball? Round to the nearest tenth (if necessary).\newlineAnswer: □\square□ feet

A bouncy ball is dropped such that the height of its first bounce is $6$ . $75$ feet and each successive bounce is $74 \%$ of the previous bounce's height. What would be the height of the $6$ th bounce of the ball? Round to the nearest tenth (if necessary). $\newline$ Answer: $\square$ feet