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

The number of stitches is 15
times the length.
The number of stitches is 1 fifth times the length.

1 answer

To find the relationship between the number of stitches and the length of the row, we can look for a consistent multiplier between the two variables.

Let's analyze the data provided:

  • For 5 stitches, the length is 1 cm: \[ \frac{5}{1} = 5 \]

  • For 15 stitches, the length is 3 cm: \[ \frac{15}{3} = 5 \]

  • For 20 stitches, the length is 4 cm: \[ \frac{20}{4} = 5 \]

  • For 30 stitches, the length is 6 cm: \[ \frac{30}{6} = 5 \]

In each case, the number of stitches is 5 times the length.

Thus, the correct relationship is:

The number of stitches is 5 times the length.