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.

a) 3.3 feet
b) 4.1 feet
c) 5.1 feet
d) 1 feet

 The correct option is (b) 4.1 feet.

Step-by-step explanation:  Given that a tennis ball is dropped from a height of 8 feet.  After the ball hits the floor, it rebounds to 80% of its previous height.

We are to find the height to which the ball will rebound after its third bounce.

The height to which the ball rebound after first bounce is

The height to which the ball rebound after second bounce is

The height to which the ball rebound after third bounce is

Therefore, the ball will rebound to a height of 4.096 feet after third bounce.

Rounding to the nearest tenth, the required height will be 4.1 feet.

Option (b) is correct.