IXL | Find the constant of proportionality from a table

During the summer, Dwayne works on his uncle's dairy farm. One of Dwayne's many chores is to load bales of hay onto a wagon and haul them from the field into the barn.

There is a proportional relationship between the number of wagon loads,

and the number of bales of hay Dwayne can haul,

x (wagon loads)	y (bales)
1	4
2	8
4	16
5	20

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

bales per wagon load

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Learn with an example

question

Kenny's class is having a holiday party, and he is in charge of bringing juice. He decides to bring powdered juice mix and add water to it at school.

There is a proportional relationship between the volume of water Kenny uses to make the juice (in liters),

and the number of scoops of juice mix he uses,

x (liters)	y (scoops)
5	10
6	12
7	14
8	16

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

scoops per liter

key idea

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

solution

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

x (liters)	y (scoops)	Ratio of y to x (scoops per liter)
5	10	10 5 = 2
6	12	12 6 = 2
7	14	14 7 = 2
8	16	16 8 = 2

The ratio for each pair of

and

y-values

So, the variables have a proportional relationship.

So, the constant of proportionality is 2 scoops per liter.

Looking for more? Try these:

Lesson: Proportional relationships

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Lesson: Proportional relationships

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