Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The table shows a proportional relationship between the number of skeins of yarn and the number of scarves made from the yarn.
Skeins of Yarn 4 8 14
Scarves 2 4 x
A knitter with 14 skeins of yarn can make
scarves.

Answer 1

Based on the provided proportional relationship, 14 skeins of yarn can make 7 scarves.

The data provided shows a proportional relationship between the number of skeins of yarn and the number of scarves made from the yarn. Proportional relationships refer to relationships between two variables where their ratios are equivalent. In order words, in a proportional relationship, one variable is always a constant value times the other. That constant is called the constant of proportionality (k). It is calculated as: k = y/x where y is the variable that changes due to change in x. Based on the information, k = 2/4 = 4/8 = 0.5.

Hence, the number of scarves made using 14 skeins of yarn is given by y = 0.5x. When x = 14, y = 0.5*14 = 7

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