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?
What is the equation representing the direct variation?
Done
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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

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

Thus the constant of variation is

What is the equation representing the direct variation?

Substitute k = 1/9 in eqn 1

Thus the equation is found

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