The question is asking to state if those following scale factors are consider as contraction or expansion, base on my research and further analysis, the possible answer are the following:
3/2 expansion
1/3 contraction
4 contraction
2/5 contraction
4/3 expansion
1/4 contraction
I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarifications
Answer:
Part a) 
Part b) 
Step-by-step explanation:
Part a) How many gallons of water will be in the pool after 20 minutes?
we know that
Using proportion

Part b) How many gallons of water will be in the pool after 1 hour
we know that
1 hour = 60 minutes
Using proportion

C) f(x) = -1/2 sin x is the answer.
9 < = 6 - y
9 - 6 < = -y
3 < = -y
-3 > = y or y < = -3
solutions include : -3,-4,-6