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

What does it mean for a table to be proportional?

Back

A table is proportional if the ratios of the values in the table are constant and the table passes through the origin.

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 can you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

What does it mean if a relationship is not proportional?

Back

A relationship is not proportional if the ratios are not constant or if the graph does not pass through the origin.

Front

What is the constant of proportionality?

Back

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

Front

If the number of jelly beans is directly proportional to the amount of money spent, what does this imply?

Back

This implies that as the amount of money spent increases, the number of jelly beans received also increases at a constant rate.

Front

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

Back

An example of a proportional relationship is the cost of apples per pound; if apples cost $2 per pound, then 2 pounds cost $4, 3 pounds cost $6, etc.

Front

What does it mean for a graph to not represent a proportional relationship?

Back

It means that the graph does not form a straight line through the origin, indicating that the relationship is not constant.