One yard is approximately 0.91 meter. write a direct variation equation that relates x yards to y meters. $$

The Direct variation says that:

then; the equation is in the form of y =kx where k is the constant of variation.

As per the statement:

One yard is approximately 0.91 meter.

⇒1 yard = 0.91 m

by definition of proportion:

By Cross multiply we get;

Therefore, the direct variation equation that relates x yards to y meters is: y=0.91x