Ask a New Question
Menu

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 6What is the relationship between the number of stitches and the length?


(1 point)
Responses

The number of stitches is 1/3
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 1/5
times the length.
The number of stitches is 1 fifth times the length.

The number of stitches is 3 times the length.

1 answer

To determine the relationship between the number of stitches and the length, let's analyze 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.

From the table, we can observe that as the length increases, the number of stitches is proportional to the length.

Let's find the ratio of the number of stitches to the length for one of the entries:

For length 1 cm:

  • Number of stitches = 5
  • Ratio = 5 stitches / 1 cm = 5 stitches/cm

For length 3 cm:

  • Number of stitches = 15
  • Ratio = 15 stitches / 3 cm = 5 stitches/cm

For length 4 cm:

  • Number of stitches = 20
  • Ratio = 20 stitches / 4 cm = 5 stitches/cm

For length 6 cm:

  • Number of stitches = 30
  • Ratio = 30 stitches / 6 cm = 5 stitches/cm

We see that the ratio is consistently 5 stitches per cm.

This means that the number of stitches is 5 times the length.

Thus, the correct response is: The number of stitches is 5 times the length.