Question
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.
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.
Answers
GPT-4o mini
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.**
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.**