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.