### Instruction: A basketball is dropped from a height of 30 feet. If it bounces back up to a height that is exactly half of its previous height, and it stops bouncing after hitting the ground for the fourth time, then how many total feet will the ball have traveled after 3 full bounces.
Answer Choices: (A) 50 (B) 82.5 (C) 60 (D) 75 (E) 80.### Response: Let's think about the multi-choice question.
Initial distance = 30 feet
first bounce = 15 feet up + 15 feet down = 30 feet
second bouche = 7.5 feet up + 7.5 feet down = 15 feet
third bounce = 375 feet up and 3.75 feet down= 7.5 feet
total distance covered = 30+30+15+7.5 = 82.5
The answer is B