Answer:
Ball will make 13 bounces before it rebounds less than 1 foot.
Step-by-step explanation:
A ball is dropped from a height of 36 feet.
In each bounce the ball reaches a height that is three quarters of the previous height.
Sequence formed will be 36, 27, 20.25.........
This sequence has a common ratio of 
Therefore, sequence will be a geometric sequence.
Explicit formula of this sequence will be

where a = first term of the sequence
r = common ratio
n = number of term
For this sequence formula will be

If this term is less than 1

Taking log on both the sides
![log[36\times (\frac{3}{4})^{n}]](https://tex.z-dn.net/?f=log%5B36%5Ctimes%20%28%5Cfrac%7B3%7D%7B4%7D%29%5E%7Bn%7D%5D%3Clog1)

1.5563 + n(-0.1249) < 0
0.1249n > 1.5563
n > 
n > 12.46
n ≈ 13
Therefore, ball will make 13 bounces before it rebounds less than 1 foot.