Answer:
 168 inches
Step-by-step explanation:
From the drop point to the point at which the rebounding ball is highest again is 24 + (3/4)·24 = 42 inches. Each successive drop and bounce adds 3/4 of the total travel from the previous high point. Hence the total distance is the sum of an infinite geometric series with first term 42 inches and a common ratio of 3/4. That sum is given for first term a1 and ratio r as ...
 S = a1·1/(1-r)
For the values given here, that sum is ...
 S = (42 in)(1/(1 -3/4)) = (42 in)·(4) = 168 in
The ball will have traveled 168 inches.
