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?

The constant of variation is 1/9.

The equation representing direct proportion is 3 yards² = k27ft²

The equation that can be used to represent direct proportion is y = kx

Where:

3 yards² = k27ft²

k = 3 /27 = 1/9.

To learn more about direct proportion, please check: link

Part 1) The constant of variation is

part 2) The equation is

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

Let

x -----> the number of square feet

y ----->  the number of square yards

Three square yards are equivalent to 27 square feet

so

we have the point (27,3)

Part 1) What is the constant of variation?

The constant of variation or proportionality is equal to

substitute the values

Simplify

Part 2) What is the equation representing the direct variation?

we know that

substitute the value of k

idk

step-by-step explanation: