Question

In many European stores ,shoe sizes are proportional to the length of the shoe. The table shows examples for some women shoe sizes what is the constant of proportionally

Answer 1

Proportionality: The term proportionality describes any relationship that is always in the same ratio. It is express as :

x = ky, where k is the proportionality constant

Shoes Size are proportional to the length of the shoes

Shoes Size = K (Length of the shoes)

From the given data

1) Shoes size = 37, Length of shoes =9.25

So, equation will be : 37 = k (9.25)

Simplify the equation:

`\begin{gathered} 37\text{ = k(9.25)} \\ k=(37)/(9.25) \\ k=4 \end{gathered}`

So, proportionality constant is 4

Answer: Proportionality constant = 4