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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 StitchesLength (cm)71213284426What is the relationship between the number of stitches and the length?NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature twice per question. (1 point)ResponsesThe number of stitches is 17 times the length.The number of stitches is 1 seventh 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 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.Skip to navigation

1 answer

To analyze the relationship between the number of stitches and the length of the row, let's look at the data given:

  • For 7 stitches: Length = 12 cm
  • For 13 stitches: Length = 28 cm
  • For 24 stitches: Length = 26 cm

Let's establish a clear relationship between the number of stitches and the length:

Looking at the ratios:

  1. 7 stitches: 12 cm → 12 / 7 ≈ 1.71 (Length per stitch)
  2. 13 stitches: 28 cm → 28 / 13 ≈ 2.15 (Length per stitch)
  3. 24 stitches: 26 cm → 26 / 24 ≈ 1.08 (Length per stitch)

The ratios are not consistent, which suggests it’s not a direct linear relationship.

However, if we consider a consistent unit rate of length per stitch or further analyze the increments and if it's meant for a fixed number of connections, we infer it’s generally linear but not directly proportional in a single easy formula with multiplication like "number of stitches = constant x length".

The conclusion based on common ratios implies that:

The closest statement to summarize this data based on one of the provided responses might suggest:

  • The number of stitches is approximately 3 times the length for lower values (e.g., 7-12 ratio).

This is not perfect but from the choices provided, "The number of stitches is 3 times the length" is the most reasonable option in cases. Thus:

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