Explain why an inverse variation function is not the best model for the data set.

Answer:

An inverse variation function is not the best model for this data set because in an inverse variation, as x increases, y should decrease. In this data set, as x increases, y also increases. Additionally, for an inverse variation, the product of x and y (xy = k) should be constant. Here, (165)(198) = 32,670 and (170)(204) = 34,680. Since these products are not the same, the data does not represent an inverse variation.