IXL | Find the rate of change: word problems

Cora took a total of 24 pages of notes during 6 hours of class. Then, later in the year, she took 52 pages of notes during 13 hours of class. How many pages of notes does Cora take during an hour of class?

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question

While working at the drugstore one summer, Wendy earned $33 over the course of 3 hours. The next summer, she earned $55 over the course of 5 hours. How much money does Wendy earn per hour?

key idea

Proportional quantities have a constant ratio.
This constant ratio is called the constant of variation.
The constant of variation often represents a rate or a cost.

solution

Create a chart.

Time spent working (hours), x	3	5
Money earned, y	$33	$55

How much money does Wendy earn per hour? The constant of variation, which often represents a rate or a cost, will tell you the answer. To find the constant of variation, divide "Money earned" by "Time spent working (hours)".

Time spent working (hours), x	3	5
Money earned, y	$33	$55
Constant of variation, y/x	11	11

The constant of variation is 11.

Wendy earns $11 per hour.

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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