Suppose you drop a tennis ball from a height of 8 feet. After the ball hits the floor, it rebounds to 80% of its previous height. How high will the ball rebound after its third bounce? Round to the nearest tenth.
After the first drop, the ball rebounds to 0.8 * 8 = 6.4 feet.
After the second bounce, the ball drops from 6.4 feet, so it rebounds to 0.8 * 6.4 = 5.12 feet.
After the third bounce, the ball drops from 5.12 feet, so it rebounds to 0.8 * 5.12 = 4.096 feet.
Rounding to the nearest tenth, the ball will rebound to a height of 4.1 feet after its third bounce.