Suppose you drop a tennis ball from a height of 9 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 bounce, the ball will rebound to 9 * 0.80 = 7.2 feet.
After the second bounce, the ball will rebound to 7.2 * 0.80 = 5.76 feet.
After the third bounce, the ball will rebound to 5.76 * 0.80 = 4.61 feet.
Therefore, the ball will rebound to approximately 4.6 feet after its third bounce.