Question

Venita is sewing new curtains. The table below shows the relationship between the number of stitches in a row and the length of the row.

Sewing
Number of stitches
Length (cm)
5
1
15
3
20
4
30
6

What is the relationship between the number of stitches and the length?
The number of stitches is One-fifth times the length.
The number of stitches is One-third times the length.
The number of stitches is 3 times the length.
The number of stitches is 5 times the length.

Answer 1

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:

1. For 5 stitches and 1 cm:
\[
\frac{5 \text{ stitches}}{1 \text{ cm}} = 5
\]

2. For 15 stitches and 3 cm:
\[
\frac{15 \text{ stitches}}{3 \text{ cm}} = 5
\]

3. For 20 stitches and 4 cm:
\[
\frac{20 \text{ stitches}}{4 \text{ cm}} = 5
\]

4. 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.**