Visual representation of the 1:1 ratio between arm length and leg length, displayed in a table and a number line.

The image presents a proportional relationship between arm length and leg length, with a ratio of 1:1, meaning that for every unit of arm length, there is an equal unit of leg length.

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🔍 Problem Analysis:

#### Left Side (Table):
- The table shows pairs of values:
- Arm Length: 10, 50, 100, 150, 200
- Leg Length: 10, 50, 100, 150, 200
- This clearly indicates that Arm Length = Leg Length at all points.
- So the relationship is directly proportional with a constant of proportionality of 1.

#### Right Side (Graph):
- Two number lines are shown:
- One labeled Arm Length
- One labeled Leg Length
- Both go from 0 to 200 in increments of 10, 50, 100, 150, 200.
- The two axes are aligned such that each value on the arm length line corresponds directly to the same value on the leg length line.
- This visualizes the 1:1 ratio — when arm length is 10, leg length is also 10; when arm length is 100, leg length is 100, etc.

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✔ Solution:

This is a direct proportion where:
> Leg Length = Arm Length

Or mathematically:
> $ \text{Leg Length} = 1 \times \text{Arm Length} $

This is represented by the ratio 1:1, which means the two quantities increase equally.

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📌 Explanation:

- The table confirms that every arm length has an identical leg length.
- The graph shows both variables increasing together along parallel scales, with matching tick marks.
- This kind of relationship is linear and passes through the origin (0,0), with a slope of 1.

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💡 Real-World Interpretation:

If this represents human body proportions (e.g., arm vs. leg length), it suggests a hypothetical or idealized model where arms and legs grow at the same rate. In reality, this isn't always true, but here it's a simplified mathematical model.

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✔ Final Answer:

The relationship between arm length and leg length is directly proportional with a ratio of 1:1.
For any given arm length, the leg length is equal to it.
This is represented both in the table and graph as:
> $ \text{Leg Length} = \text{Arm Length} $