Answer:
The variation constant is 1/9
The direct variation equation is expressed as y/x= 1/9
Step-by-step explanation:
In the case of direct variation, the formula y/x=k is used where k represents the constant of variation. For this situation, y denotes square yards and x represents square feet. Given that 27 square feet equals 3 square yards, we derive one coordinate (x₁, y₁) as (27 square feet, 3 square yards). Substituting x₁ and y₁ into our equation yields
y/x = k
3 / 27 = k
(3/27) / (3/3) = 1/9* = k
Consequently, the constant of variation is 1/9
Subsequently, as previously mentioned, y/x = k outlines the direct variation equation. Thus, we have y / x = 1/9 as our equation
* We can simplify the fraction since 3 divides both 3 and 27 evenly. To find the greatest common factor, you can list factors of each number and determine the highest shared factor.
