To represent the proportion of length to height as 3 to 1, we can express this as an equation. If we denote length as \( L \) and height as \( H \), then the relationship can be written as:
\[ \frac{L}{H} = 3 \]
This can also be rearranged to show that:
\[ L = 3H \]
For each of the given points, we'll evaluate them by checking if they satisfy this equation.
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Y dot: (4, 9)
- Length = 4, Height = 9
- Check: \( 4 = 3 \times 9 \) → Not true (since \( 4 \neq 27 \))
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Z dot: (3, 9)
- Length = 3, Height = 9
- Check: \( 3 = 3 \times 9 \) → Not true (since \( 3 \neq 27 \))
-
X dot: (3, 6)
- Length = 3, Height = 6
- Check: \( 3 = 3 \times 6 \) → Not true (since \( 3 \neq 18 \))
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W dot: (3, 9)
- Length = 3, Height = 9
- Check: \( 3 = 3 \times 9 \) → Not true (since \( 3 \neq 27 \))
From the above checks, since none of the given points satisfy the proportion of 3 to 1, it seems there might be a misunderstanding in interpreting the question or the data provided.
Since we're actually looking for a graph that appropriately represents the ratio of length to height of 3 to 1, we can calculate the expected height based on the lengths of the dots given.
For a banner with a length of 3, the expected height according to the ratio would be:
\[ H = \frac{L}{3} = \frac{3}{3} = 1 \]
For a banner with a length of 4, the expected height is:
\[ H = \frac{4}{3} \approx 1.33 \]
For a banner with a length of 6, the expected height is:
\[ H = \frac{6}{3} = 2 \]
None of the points as they stand represents this exact ratio. Please reevaluate the data or clarity on dimensions required to further determine which may represent a ratio approaching 3 to 1 properly.
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