Solve the equation for the

-value and choose whether it is a direct variation or inverse variation.

xy=7

direct variation

inverse variatio

1 answer

To solve the equation \( xy = 7 \), you can express \( y \) in terms of \( x \):

\[ y = \frac{7}{x} \]

This equation shows that as \( x \) increases, \( y \) decreases, and vice versa. This relationship indicates that \( y \) varies inversely with \( x \).

Since the relationship can be described with the form \( y = \frac{k}{x} \) (where \( k \) is a constant, in this case, \( k = 7 \)), it confirms that this is an inverse variation.

Thus, the -value is \( y = \frac{7}{x} \), and the variation is inverse variation.