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.

Question

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?


(1 point)
Responses

The number of stitches is 13
times the length.
The number of stitches is 1 third times the length.

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 3 times the length.
The number of stitches is 3 times the length.

Answer 1

To determine the relationship between the number of stitches and the length, we can look at the data provided:

• When the length is 1 cm, the number of stitches is 5.
• When the length is 3 cm, the number of stitches is 15.
• When the length is 4 cm, the number of stitches is 20.
• When the length is 6 cm, the number of stitches is 30.

To find a relationship, let's express the number of stitches as a function of the length.

We can observe that:

• For every 1 cm increase in length, the number of stitches increases correspondingly:
  • Length 1 cm → 5 stitches
  • Length 3 cm → 15 stitches (which is 5 stitches for each cm)
  • Length 4 cm → 20 stitches (which is also 5 stitches for each cm)
  • Length 6 cm → 30 stitches (which is again 5 stitches for each cm)

This shows that there is a linear relationship, specifically:

The number of stitches = 5 × Length.

Thus, the answer is:

The number of stitches is 5 times the length.