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 is constant.

Front

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

Back

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

Front

What does it mean if a table is proportional?

Back

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

Front

What is the constant of proportionality?

Back

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

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx.

Front

What is a unit rate?

Back

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

Front

If a graph does not pass through the origin, is it proportional?

Back

No, if a graph does not pass through the origin, it is not a proportional relationship.

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

How do you find the unit rate from a table?

Back

To find the unit rate from a table, divide the value of one quantity by the corresponding value of the other quantity.

Front

What happens to the graph of a proportional relationship if the constant of proportionality increases?

Back

If the constant of proportionality increases, the slope of the graph becomes steeper.