Question

One type of fabric costs $31.25 for 5 square yards. Another type of fabric costs $71.50 for 11

square yards. Is the relationship between the number of square yards and the cost
proportional between the two types of fabric?

Answer 1

as ratio of two type of fabric is different .

hence, the relationship between the number of square yards and the cost

is not proportional between the two types of fabric

Explanation:

For a relation to be proportional

a:b = c:d

in other form

a/b = c/d

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Ratio for first type of fabric

cost of fabric/ area of fabric = 31.25/5 = 6.25

Ratio for other type of fabric

cost of fabric/ area of fabric = 71.50/11 = 6.5

as ratio of two type of fabric is different .

hence, the relationship between the number of square yards and the cost

is not proportional between the two types of fabric