Question

The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 square feet. Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.

What is the constant of variation?

Answer 1

constant of variation is 1/9 and equation is y=1/9x

Explanation:

3/27 = 1/9

Answer 2

Let y represent the number of square yards
Let x the number of square feet.
Then y varies directly with x.

y = kx
where k is the constant of variation.
y = 3 yards^2
x = 27 feet^2

3 = k(27)
k = 3/27
k = 1 yard^2 /9 feet^2

So the constant of variation is 1 yard^2 /9 feet^2.