Answer
inverse variation
Work Step by Step
A quick way to recognize direct and inverse variation is to ask, "as x goes up in value, what does y do?" If y goes up, then it is a direct variation. If y goes down, then it is an inverse variation.
In this situation, the area of each rectangle is 24cm2
Lets think about possible Lengths and Widths:
$$l×w=24cm^2$$
$$1×24=24cm^2$$
$$2×12=24cm^2$$
$$3×4=24cm^2$$
$$4×3=24cm^2$$
And so on. Examining this data, we can see that as our length (x) gets bigger, our width (y) gets smaller. Therefore, this represents an inverse variation.
