Answer:
No, Monica did not correctly factor out the GCF
Step-by-step explanation:
The given expression is 
The prime factorization of each term are:




The greatest common factor is the product of the least powers of the common factors.

The greatest common factor is 6.
If we factor the GCF, we obtain:

Therefore Monica did not correctly factor out the GCF
If one adult ticket costs
, then three adult tickets cost 
Similarly, if one child ticket costs
, then nine child tickets cost 
So, in total, the price will be

First, simplify the equation into y=mx+b form. This would be y=3x/2-15/2. And for the slope of a line perpendicular to the original line, there is a trick. Their slopes should multiply to -1. For 3/2 to multiply to -1, you need -2/3.
I believe the answer is 5%