To determine the relationship between the number of stitches and the length (in cm), we can analyze the data provided in the table:
- For 5 stitches, the length is 1 cm.
- For 15 stitches, the length is 3 cm.
- For 20 stitches, the length is 4 cm.
- For 30 stitches, the length is 6 cm.
We can express this as a ratio of the number of stitches to the length:
-
For 5 stitches and 1 cm: \[ \frac{5 \text{ stitches}}{1 \text{ cm}} = 5 \]
-
For 15 stitches and 3 cm: \[ \frac{15 \text{ stitches}}{3 \text{ cm}} = 5 \]
-
For 20 stitches and 4 cm: \[ \frac{20 \text{ stitches}}{4 \text{ cm}} = 5 \]
-
For 30 stitches and 6 cm: \[ \frac{30 \text{ stitches}}{6 \text{ cm}} = 5 \]
In each case, the ratio is consistently 5 stitches per cm of length. This indicates that the number of stitches is 5 times the length:
So, the relationship between number of stitches and length is: The number of stitches is 5 times the length.