Proportional Relationships -- Tables, Equations, 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 does it mean if a table represents a proportional relationship?

Back

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

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 constant of proportionality?

Back

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

Front

If y = 18.50x, what is the constant of proportionality?

Back

The constant of proportionality is 18.50.

Front

How do you determine if a table does not represent a proportional relationship?

Back

A table does not represent a proportional relationship if the ratios of the values are not constant.

Front

What is the relationship between cookies and sugar in the equation c = 12s?

Back

The equation c = 12s means that for every cup of sugar (s), 12 cookies (c) are made.

Front

What does a straight line through the origin indicate in a graph?

Back

A straight line through the origin indicates a proportional relationship between the two variables.

Front

If a table shows the values (2, 4), (3, 6), (4, 8), does it represent a proportional relationship?

Back

Yes, it represents a proportional relationship because the ratios (y/x) are constant (2).