IXL | Find the constant of proportionality from a table

Ellen loves to wear socks with crazy patterns. She finds a great deal for these kinds of socks at her favorite store, Rock Those Socks.

There is a proportional relationship between the number of pairs of socks that Ellen buys,

and the total cost (in dollars),

What is the constant of proportionality? Write your answer as a whole number or decimal.

dollars per pair of socks

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Learn with an example

Terrence likes to make lemonade using the lemons from his grandmother's trees.

There is a proportional relationship between the number of pitchers of lemonade Terrence wants to make,

and the number of lemons he needs,

What is the constant of proportionality? Write your answer as a whole number or decimal.

lemons per pitcher

Two variables have a proportional relationship if the ratio of one variable to the other is constant.

If x and y have a proportional relationship, the constant of proportionality is the ratio of y to

To find the constant of proportionality, calculate the ratio of y to

x (pitchers)	y (lemons)	Ratio of y to x (lemons per pitcher)
2	8	8 2 = 4
3	12	12 3 = 4
4	16	16 4 = 4
5	20	20 5 = 4

The ratio for each pair of

and

y-values

So, the variables have a proportional relationship.

So, the constant of proportionality is 4 lemons per pitcher.

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