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?

(1 point)
Responses

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.

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

The number of stitches is 13
times the length.

1 answer

To determine the relationship between the number of stitches and the length, we can look for a consistent factor that relates the two values based on the given data:

  • For 7 stitches, length = 1 cm: \( 7 = 7 \times 1 \)
  • For 21 stitches, length = 3 cm: \( 21 = 7 \times 3 \)
  • For 28 stitches, length = 4 cm: \( 28 = 7 \times 4 \)
  • For 42 stitches, length = 6 cm: \( 42 = 7 \times 6 \)

From this, we can see that the number of stitches is consistently 7 times the length in cm. So the correct relationship is:

The number of stitches is 7 times the length.