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 variatioThe 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?
1/9
1/3
3
9

What is the equation representing the direct variation?
y=(1/9)x
y=(1/3)x
y=3x
y=9x

Answer 1

y = sq yards, x = sq feet
for a direct variation, y = kx

so you can plug y = 3 sq yards and x = 27 sq feet into y = kx to solve for k. your k-value will be the constant of variation.

for the second part of the question, simply re-write y = kx and replace k with your k-value