Identify Proportional Relationships in Graphs and 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 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 does it mean if a graph is non-proportional?

Back

A non-proportional graph does not pass through the origin and does not maintain a constant ratio between the two quantities.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k'.

Front

How can you determine if a table shows proportional relationships?

Back

A table shows proportional relationships if the ratios of corresponding values are equal.

Front

What is an example of a proportional relationship?

Back

If you double one quantity, the other quantity also doubles, such as in the relationship between distance and time at a constant speed.

Front

What is an example of a non-proportional relationship?

Back

A relationship where one quantity increases but the other does not maintain a constant ratio, such as a fixed fee plus a variable cost.

Front

If a graph has points (0,0), (1,2), and (2,4), is it proportional?

Back

Yes, it is proportional because the points form a straight line through the origin.

Front

If a table shows values (1,2), (2,5), (3,8), is it proportional?

Back

No, it is not proportional because the ratios are not constant.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.