Tables, Graphs, & Equations of Proportional Relationships

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 tell if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the unit rate (the ratio of the two quantities) is constant.

Front

What does it mean if a graph is linear?

Back

A linear graph shows a constant rate of change, meaning it forms a straight line.

Front

What is the significance of the origin (0,0) in proportional relationships?

Back

In proportional relationships, the graph must pass through the origin (0,0) to be considered proportional.

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 does the point (2, 94) represent in a proportional relationship?

Back

The point (2, 94) represents that after 2 weeks, the total amount saved is $94.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

How do you determine if a graph is proportional?

Back

A graph is proportional if it is linear and passes through the origin.

Front

What does it mean if the unit rate is not constant?

Back

If the unit rate is not constant, the relationship is not proportional.

Front

What is the formula to find the constant of proportionality?

Back

The constant of proportionality (k) can be found by dividing y by x in the equation y = kx.