How do you identify proportional relationships?

Ratios are used to compare numbers. When you're working with ratios, it's sometimes easier to work with an equivalent ratio. Equivalent ratios have different numbers but represent the same relationship. In this tutorial, you'll see how to find equivalent ratios by first writing the given ratio as a fraction. Take a look!

The following data shows the number of soccer games you played related to the number of goals you scored: 2:8, 3:12, 4:20, 5:36, 6:50. 2 times 4 is 8, and 3 times 4 is 12. But 4 times 4 is 16, not 20. And 5 times 4 is 20, not 36. You can't always multiply the number of games played by the same number to get the number of goals scored. This is a non-proportional relationship. Now you try: Identify if the following data represents a proportional relationship: 3:9, 5:15, 6:24, 8:32

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What is an example of a proportional relationship?

Representing Proportional Relationships with Equations For example, if each square foot of carpet costs $1.50, then the cost of the carpet is proportional to the number of square feet. The constant of proportionality in this situation is 1.5.

What are 3 characteristics of a proportional relationship?

The following characteristics are true of the graph of all proportional relationships. The graph is linear. The line of the graph passes through the origin. The slope of the line is the constant of proportionality.