To determine the relationship between the number of stitches and the length based on the data provided, we can analyze the information in the table:
- For 5 stitches, the length is 11 cm.
- For 15 stitches, the length is 32 cm.
- For 20 stitches, the length is 43 cm.
- For 30 stitches, the length is 306 cm.
Now, let's examine if there is a consistent relationship.
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If we look at the first pair (5 stitches, 11 cm):
- \( \frac{11 \text{ cm}}{5 \text{ stitches}} = 2.2 \text{ cm per stitch} \)
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Second pair (15 stitches, 32 cm):
- \( \frac{32 \text{ cm}}{15 \text{ stitches}} \approx 2.13 \text{ cm per stitch} \)
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Third pair (20 stitches, 43 cm):
- \( \frac{43 \text{ cm}}{20 \text{ stitches}} = 2.15 \text{ cm per stitch} \)
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Fourth pair (30 stitches, 306 cm):
- \( \frac{306 \text{ cm}}{30 \text{ stitches}} = 10.2 \text{ cm per stitch} \)
It appears there isn't a constant relationship between the number of stitches and the length since the ratios fluctuate between the pairs.
Given the responses provided, none of them match up because the relationship is not a simple multiplication factor across the stitch increments. The relationship isn't linear or one of those stated responses. However, based on careful observation of the pairs:
Thus, it cannot be concluded that the number of stitches is consistently multiplied or divided by a simple fraction of the length. The relationship deviates significantly across the different pairs.
Therefore, there seems to be no exact matching response. If forced to choose from the provided responses, none accurately describes the relationship. Please review the table as the data does not support a linear proportional relationship with a fixed multiplier.