Identifying Proportional Relationships (tables)

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 quantity is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio or unit rate that describes how one quantity changes in relation to another in a proportional relationship.

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant and the table passes through the origin.

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the ratios of corresponding values are not constant, and the relationship does not maintain a consistent unit rate.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something.

Front

If a table shows the number of apples and the number of trees, how can you find the unit rate?

Back

To find the unit rate, divide the number of apples by the number of trees.

Front

What is an example of a proportional relationship?

Back

An example of a proportional relationship is if 2 trees produce 26 apples, then 4 trees would produce 52 apples, maintaining the same ratio.

Front

What does it mean for a table to pass through the origin?

Back

For a table to pass through the origin means that when one quantity is zero, the other quantity is also zero, indicating a proportional relationship.

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How do you identify the constant of proportionality from a table?

Back

To identify the constant of proportionality, divide the values of one quantity by the corresponding values of the other quantity and check if the result is constant.

Front

What is the significance of the unit rate being constant in a proportional relationship?

Back

The significance of the unit rate being constant is that it indicates a consistent relationship between the two quantities, allowing predictions and calculations.