Question

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

Answer 1

Y = kx is the direct variation equation with k being the "constant of variation"
The constant here being the conversion decimal .91
y = 0.91x

Answer 2

Answer:

The Direct variation says that:

$y \propto x$

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:

$\frac{x}{y} = \frac{1}{0.91}$

By Cross multiply we get;

$0.91x = y$

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