Question

The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 square feet. Lety represent the number of square yards and x the number of square teet. Ihen y varies directly with x What is the constant of variation? What is the equation representing the direct variation?​

Answer 1

The constant of variation is 9 and the equation representing the direct variation is y = 9x.

Step-by-step explanation:

In this case, the conversion of square feet to square yards is represented by direct variation. Since 3 square yards are equivalent to 27 square feet, we can determine the constant of variation by dividing the number of square feet by the number of square yards. So, the constant of variation is 27/3 = 9.

To represent this direct variation equation, we use the formula y = kx, where y represents the number of square yards, x represents the number of square feet, and k represents the constant of variation. In this case, the equation would be y = 9x.