Answer
No, Pedro is not correct.
Work Step by Step
It is true that a quick check for direct or inverse variation is the see how x and y relate to one another (for instance, if x goes up, what does y do? If it goes up, it is direct variation; if it goes down, it is inverse variation).
However, the k must remain the same in either case.
So, if this were an inverse variation, k would remain constant.
Consider the following values of x and y according to the pattern Pedro sees: (1,8), (2,6), (3,4, (4,2)). If this were truly an inverse variation, then $xy = k$, in which k is constant.
Let's check:
$1\times8 = 8$
$2\times6=12$
$3\times4 = 12$
$4\times2 = 8$
While some of our k's were the same, they should have been constant throughout, meaning this is not an inverse variation.
Instead, this information follows the form of a line: $y=mx+b$.
