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. Number of Stitches Length%C2%A0(cm) 5 1 15 3 20 4 30 6 What is the relationship between the number of stitches and the length? %C2%A0 (1 point) Responses The number of stitches is 5 times the length. The number of stitches is 5 times the length. The number of stitches is 15 times the length. The number of stitches is 1 fifth times the length. The number of stitches is 13 times the length. The number of stitches is 1 third times the length. The number of stitches is 3 times the length. The number of stitches is 3 times the length. Skip to navigation

Answer 1

To find the relationship between the number of stitches and the length, we can look at the pairs of values given in the table:

1. 5 stitches -> 1 cm
2. 15 stitches -> 3 cm
3. 20 stitches -> 4 cm
4. 30 stitches -> 6 cm

Now, let's examine the relationship:

• For 5 stitches, the length is 1 cm: \( \frac{5 \text{ stitches}}{1 \text{ cm}} = 5 \) stitches/cm

• For 15 stitches, the length is 3 cm: \( \frac{15 \text{ stitches}}{3 \text{ cm}} = 5 \) stitches/cm

• For 20 stitches, the length is 4 cm: \( \frac{20 \text{ stitches}}{4 \text{ cm}} = 5 \) stitches/cm

• For 30 stitches, the length is 6 cm: \( \frac{30 \text{ stitches}}{6 \text{ cm}} = 5 \) stitches/cm

In every case, the ratio of stitches to length is consistently 5. This can be interpreted as:

• The number of stitches is 5 times the length in centimeters.

Therefore, the correct response is:

The number of stitches is 5 times the length.