Question

Tell whether x and y show direct variation, inversevariation, or neither. Explain your reasoning.X 24.68y -5 -11 -17 -23The products xy areThe ratios Y areХSo, X and y show

Answer 1

Neither

1) Firstly, we can start filling in the blanks.

2) The products xy are:

`xy=-10,-44,-102,-184`

We're simply multiplying each x-entry by its output y.

The ratios y/x are:

`(y)/(x)=-(5)/(2),-(11)/(4),-(17)/(6),-(23)/(8)`

So, x and y show:

Note that xy is not constant, for their product differs. So it is not an

inverse variation.

On the other hand, y/x is not constant as well. So it is not a direct variation.

3) Hence, it's neither direct nor inverse.