Identify Proportional and Non-Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

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What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Front

How can you identify a proportional relationship from a graph?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates a non-proportional relationship.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is earning a fixed hourly wage, such as $10 per hour.

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What is an example of a non-proportional relationship in real life?

Back

An example of a non-proportional relationship is a gym membership that has a fixed fee plus a variable hourly charge.

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What is the formula for a proportional relationship?

Back

The formula for a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Front

How do you determine if a set of data points represents a proportional relationship?

Back

To determine if a set of data points represents a proportional relationship, check if the ratios of corresponding values are equal.

Front

What is the significance of the slope in a proportional relationship?

Back

In a proportional relationship, the slope of the line represents the constant of proportionality.