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 do you identify a proportional relationship in a table?

Back

A proportional relationship can be identified in a table 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 in a proportional relationship, often represented by 'k'.

Front

How can you represent a proportional relationship using an equation?

Back

A proportional relationship can be represented by the equation y = kx, where k is the constant of proportionality.

Front

What does the slope of a graph represent in a proportional relationship?

Back

The slope of a graph in a proportional relationship represents the constant of proportionality.

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Front

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

Back

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

Front

What does the point (3, 12) represent in a proportional relationship?

Back

The point (3, 12) represents that when the first quantity is 3, the second quantity is 12.

Front

If a recipe calls for 2 cups of sugar for every 5 cups of flour, what is the constant of proportionality?

Back

The constant of proportionality is 2/5 or 0.4.

Front

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

Back

The unit rate is found by dividing the two quantities, giving the amount of one quantity per one unit of the other.