The constant of variation is [tex]\frac{1}{9}[/tex]
The equation is [tex]y=\frac{1}{9}x[/tex]
Solution:
Given that,
The conversion of square feet to square yards can be represented by direct variation
Let y represent the number of square yards
Let x be the number of square feet
[tex]y \propto x[/tex]
y = kx ------ eqn 1
Where, "k" is the constant of variation
Three square yards are  equivalent to 27 square feet
Substitute, y = 3 and x = 27 in eqn 1
[tex]3 = k \times 27\\\\k = \frac{3}{27}\\\\k = \frac{1}{9}[/tex]
Thus the constant of variation is [tex]\frac{1}{9}[/tex]
What is the equation representing the direct variation?
Substitute k = 1/9 in eqn 1
[tex]y = \frac{1}{9}x[/tex]
Thus the equation is found
