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
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Neither
1) Firstly, we can start filling in the blanks.
2) The products xy are:
[tex]xy=-10,-44,-102,-184[/tex]We're simply multiplying each x-entry by its output y.
The ratios y/x are:
[tex]\frac{y}{x}=-\frac{5}{2},-\frac{11}{4},-\frac{17}{6},-\frac{23}{8}[/tex]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.