need help with math 1 problem (dont laugh)

<p>A rubber ball is dropped from a height of 10 meters. If the ball always rebounds 4/5 the distance it has fallen, how far, in meters, will the ball have traveled at the moment it hits the ground for the fourth time? </p>

<p>A. 4.10</p>

<p>B. 5.12</p>

<p>C. 29.52</p>

<p>D. 43.92</p>

<p>E. 49.04</p>

<p>Down 10 (hits ground for 1st time)
Up 8, Down 8 (hit 2nd time)
Up 6.4, Down 6.4 (hit 3rd time)
Up 5.12, Down 5.12 (hit 4th time)
Total: 49.04 m, Answer: E</p>

<p>thank you!</p>