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 is constant.

Front

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

Back

A table represents a proportional relationship if the ratio of y to x is the same for all pairs of values.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality, representing how much of one quantity corresponds to one unit of another quantity.

Front

What does the constant of proportionality represent?

Back

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

Front

How can you express a proportional relationship as an equation?

Back

A proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What is the significance of the graph of a proportional relationship?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

How can you identify a non-proportional relationship in a table?

Back

A non-proportional relationship in a table can be identified if the ratios of y to x are not constant.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the cost of apples if they are sold at a constant price per pound.

Front

What is the formula to find the unit rate from a table?

Back

To find the unit rate, divide the total amount of the dependent variable by the total amount of the independent variable.