Question

the number of stitches is \frac{1}{3} 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 \frac{1}{5} times the length.
what is the relationship between the number of stitches and the length?
verita is sewing new curtains. the following table shows the relationship between the number of stitches in a row and the length of the row.

Explanation:

Step1: Find the ratio of number of stitches to length

For \(5\) stitches and \(1\) cm: \(\frac{5}{1} = 5\)
For \(15\) stitches and \(3\) cm: \(\frac{15}{3}=5\)
For \(20\) stitches and \(4\) cm: \(\frac{20}{4} = 5\)
For \(30\) stitches and \(6\) cm: \(\frac{30}{6}=5\)

Step2: Analyze the relationship

Since the ratio \(\frac{\text{Number of stitches}}{\text{Length}}\) is constant (\(5\)), the number of stitches is \(5\) times the length.

Answer:

The number of stitches is \(5\) times the length.