A ball bounces back 0.6 of it’s height on every bounce. If a ball is dropped from 200 feet, how high does it bounce on the fifth bounce? Round to the nearest tenth.

To calculate how high the ball bounces on the fifth bounce, we can use the given information that the ball bounces back 0.6 (60%) of its height on each bounce. Let's break down the bounces: 1st bounce: The ball is dropped from 200 feet. 2nd bounce: The ball bounces back 0.6 times its height from the 1st bounce. 3rd bounce: The ball bounces back 0.6 times its height from the 2nd bounce. 4th bounce: The ball bounces back 0.6 times its height from the 3rd bounce. 5th bounce: The ball bounces back 0.6 times its height from the 4th bounce. Let's calculate the heights for each bounce: $$1st \:bounce: 200 feet$$ $$2nd \:bounce: 0.6 \times 200 feet = 120 feet$$ $$3rd \:bounce: 0.6 \times 120 feet = 72 feet$$ $$4th \:bounce: 0.6 \times 72 feet = 43.2 feet$$ $$5th \:bounce: 0.6 \times 43.2 feet = 25.92 feet$$ Rounding to the nearest tenth, the ball bounces to approximately 25.9 feet on the fifth bounce.