Proportional Relationships in Tables, Graphs, and Equations

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 table?

Back

A proportional relationship in a table can be identified if the ratios of corresponding values are the same.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

What does it mean for a graph to be proportional?

Back

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

Front

How do you find the unit rate in a proportional relationship?

Back

The unit rate can be found by dividing the value of one quantity by the value of the other quantity when the second quantity is equal to 1.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Front

What is the significance of the origin in proportional graphs?

Back

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

Front

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

Back

A graph is non-proportional if it does not pass through the origin or if it is not a straight line.

Front

What is the relationship between the slope of a proportional graph and the constant of proportionality?

Back

The slope of a proportional graph is equal to the constant of proportionality.

Front

What does a non-proportional relationship look like in a table?

Back

In a table, a non-proportional relationship will show varying ratios between corresponding values.