Question

One type of yarn costs $4 for 100 yards. Another type of yard costs $5 for 150 yards. Is the relationship between the number of yards and the cost a proportional relationship between the two types of yarn ?

Answer 1

There is no proportional relationship between the two types of yarn as the cost per yard is different for each type.

To determine if there is a proportional relationship between the Number of yards and cost of each type of yarn, we calculate the cost per yard for each type of yarn.

Yarn 1 :

Cost of 4 yards = $100

Cost per yard = ($100 ÷ 4) = $25

Hence, Yarn 1 costs $25 per yard

Yarn 2 :

Cost of 5 yards = $150

Cost per yard = ($150 ÷ 5) = $30

Hence, Yarn 2 costs $30 per yard

Since, the cost per yard of each type of yarn is different, then we can conclude that there is no proportional relationship between the two types of yarn.

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