Respuesta :
Answer:
The relation is neither a direct variation nor an inverse variation.
Step-by-step explanation:
We will say a relation is direct variation, if increase in one variable causes the other variable to increase and the two variables need to satisfy y=kx else for an increase in variable ,if there is decrease in other variable and the two variables has to satisfy [tex]y=\frac{k}{x}[/tex], then it is called inverse variation.
Let us compare the x and y-values in the table.
x is increasing from 9 to 11 to 13 to 15.
And y is also increasing from -17 to -1 to -6 to 27.
Hence the relation is not definitely inverse variation but may be direct variation. Let us check it by finding k for x=9 and x=11.
For x=9, y=-17 that is -17=k(9)
[tex]k=\frac{-17}{9}[/tex]
For x=11, y=-1 that is -1=k(11)
[tex]k=\frac{-1}{11}[/tex]
Since k is different for different pairs it is not direct variation also.
