Proportional Relationships in Tables and Graphs

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

How can you identify a proportional relationship in a graph?

Back

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

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1. It represents how much of one quantity corresponds to one unit of another quantity.

Front

What does it mean if a table shows a proportional relationship?

Back

If a table shows a proportional relationship, the ratios of the values in the table are constant.

Front

How can you determine if a graph is proportional or non-proportional?

Back

You can determine if a graph is proportional by checking if it is a straight line through the origin. If it does not pass through the origin or is not a straight line, it is non-proportional.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant in proportional relationships because it indicates that when one quantity is zero, the other quantity is also zero.

Front

What are the characteristics of a proportional graph?

Back

A proportional graph is characterized by a straight line that passes through the origin and has a constant slope.

Front

What is the slope in a proportional relationship?

Back

The slope in a proportional relationship represents the constant rate of change between the two quantities.

Front

How do you find the unit rate from a table?

Back

To find the unit rate from a table, divide the value of one quantity by the corresponding value of the other quantity, focusing on the row where the second quantity is 1.

Front

What does it mean if all graphs in a set are proportional?

Back

If all graphs in a set are proportional, it means that each graph represents a constant ratio between the two quantities being compared.