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 scenario, as the number of friends increases, the amount of pizza per person decreases. For instance, 2 friends would have 4 slices each. However, 4 friends would have only 2 slices each. And 8 friends would have only 1 slice each. So, in this case, as the x value grows (the number of friends), the y value gets smaller (the amount of pizza per friend). Therefore, this is an inverse variation.