Subjects algebra

Constant Proportionality F8D740

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1. The problem states there is a proportional relationship between yards ($x$) and feet ($y$), meaning $y = kx$ where $k$ is the constant of proportionality. 2. From the graph, we see points like $(1,3)$, $(2,6)$, $(3,9)$, etc., which lie on the line. 3. To find $k$, use the formula for proportionality: $$k = \frac{y}{x}$$ 4. Using the point $(1,3)$: $$k = \frac{3}{1} = 3$$ 5. Check with another point $(2,6)$: $$k = \frac{6}{2} = 3$$ 6. Since $k$ is consistent, the constant of proportionality is $3$ feet per yard. 7. This means for every 1 yard, there are 3 feet. Final answer: $3$ feet per yard.