IXL | Identify proportional relationships: word problems

A corporate team-building event costs $4 for every attendee. Is the total cost directly proportional to the number of attendees?

yes

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Learn with an example

question

Tara already owns 36 necklaces, and additional necklaces are priced at 1 for a dollar. Is the total number of necklaces Tara owns proportional to the amount of money Tara spends on additional necklaces?

yes

key idea

Proportional quantities can be described by the equation y = kx, where k is a constant ratio.

solution

You can check that the relationship is not directly proportional by showing that the relationship cannot be written as y = kx, where k is a constant ratio.

First, create a chart.

Total number of necklaces (y)	37	38	39	40
Money spent on additional necklaces (x)	$1	$2	$3	$4

Now divide "Total number of necklaces (y)" by "Money spent on additional necklaces (x)" to find the ratio (k).

Total number of necklaces (y)	37	38	39	40
Money spent on additional necklaces (x)	$1	$2	$3	$4
Ratio (k)	37	19	13	10

The ratio (k) is not constant, so the relationship can't be described by the equation y = kx, where k is a constant ratio. This means that the relationship is not directly proportional.

Looking for more? Try these:

Lesson: Proportional relationships

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Lesson: Proportional relationships

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