Tables, Graphs, & Equations of Proportional Relationships

Front

What is the constant of proportionality?

Back

The constant of proportionality is the unit rate that describes the relationship between two quantities in a proportional relationship.

Front

How can you find the constant of proportionality in a table?

Back

You can find the constant of proportionality by calculating the unit rate, which is the ratio of the output value to the input value.

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship on a graph is represented by 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

What is a unit rate?

Back

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

Front

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

Back

In this context, the point (2, 94) represents that after 2 weeks, they save $94.

Front

How can you determine 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 is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio and pass through the origin, while non-proportional relationships do not have a constant ratio and may not pass through the origin.

Front

What is a table of values in relation to proportional relationships?

Back

A table of values lists pairs of numbers that show the relationship between two quantities, helping to identify if the relationship is proportional.

Front

What does it mean for a graph to be linear?

Back

A linear graph is one that forms a straight line, indicating a constant rate of change between the two variables.