We can solve this equation, Solveit
30(3/5)N = 4 where N is the number of bounces..... divide both sides by 30
(3/5)N = 4/30
(.6)N = 2/15 take the log of each side
log (.6)N = log (2/15) and we can write
N log(.6) = log(2/15) divide both sides by log(.6)
N = log(2/15) / log(.6)
N ≈ 3.944
When N = 3.....the ball height = 6.48 ft
When N = 4.......the ball height = 3.88 ft
So......it looks like that on the 4th bounce, the ball will be at a height of less than 4 ft (B)
We can solve this equation, Solveit
30(3/5)N = 4 where N is the number of bounces..... divide both sides by 30
(3/5)N = 4/30
(.6)N = 2/15 take the log of each side
log (.6)N = log (2/15) and we can write
N log(.6) = log(2/15) divide both sides by log(.6)
N = log(2/15) / log(.6)
N ≈ 3.944
When N = 3.....the ball height = 6.48 ft
When N = 4.......the ball height = 3.88 ft
So......it looks like that on the 4th bounce, the ball will be at a height of less than 4 ft (B)