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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 (cm)
7 1
21 3
28 4
42 6
What is the relationship between the number of stitches and the length?

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

The number of stitches is 7 times the length.
The number of stitches is 7 times the length.

The number of stitches is 17
times the length.
The number of stitches is 1 seventh times the length.

1 answer

To determine the relationship between the number of stitches and the length, let's analyze the data provided in the table:

  1. For 7 stitches, the length is 1 cm.
  2. For 21 stitches, the length is 3 cm.
  3. For 28 stitches, the length is 4 cm.
  4. For 42 stitches, the length is 6 cm.

Now let's find the ratio of the number of stitches to the length for each pair:

  • For 7 stitches and 1 cm: \( \frac{7}{1} = 7 \)
  • For 21 stitches and 3 cm: \( \frac{21}{3} = 7 \)
  • For 28 stitches and 4 cm: \( \frac{28}{4} = 7 \)
  • For 42 stitches and 6 cm: \( \frac{42}{6} = 7 \)

In all cases, the number of stitches is 7 times the length of the row in cm.

Thus, the correct relationship between the number of stitches and the length is:

The number of stitches is 7 times the length.