IXL | Write equations for proportional relationships from tables

Ever since Damon was a small child, his favorite food has always been carrots. He likes them so much he wants to plant a garden in his backyard just to grow carrots.

There is a proportional relationship between the size of Damon's garden (in square feet),

and the number of carrots he can grow at a time,

x (square feet)	y (carrots)
1	4
2	8
3	12
4	16

Write an equation for the relationship between x and

Simplify any fractions.

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Learn with an example

question

The housekeeping staff at the Weary Traveler Hotel rotates job assignments every day. Today, Beth is in charge of folding the freshly cleaned bedsheets.

There is a proportional relationship between the amount of time (in minutes) Beth spends folding,

and the number of bedsheets she folds,

x (minutes)	y (bedsheets)
1	5
2	10
3	15
4	20

Write an equation for the relationship between x and

Simplify any fractions.

key idea

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

A proportional relationship between x and y can be modeled by the equation

The letter k is the constant ratio of y to

It is called the constant of

proportionality.

solution

To write an equation for the relationship between x and

first find the constant of proportionality. Calculate the ratio of y to

x (minutes)	y (bedsheets)	Ratio of y to x (bedsheets per minute)
1	5	5 1 = 5
2	10	10 2 = 5
3	15	15 3 = 5
4	20	20 4 = 5

The ratio for each pair of

and

y-values

So, the variables have a proportional relationship.

So, the constant of proportionality is 5 bedsheets per minute.

The equation for the relationship is:

Looking for more? Try these:

Lesson: Proportional relationships

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X.1Find the constant of proportionality from a table

Lesson: Proportional relationships

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