Proportional Relationships in Tables, Graphs, & 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 graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because proportional relationships must pass through this point.

Front

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

Back

You can determine if a graph is proportional by checking if it is linear and passes through the origin.

Front

What is the formula for finding the constant of proportionality (k)?

Back

The constant of proportionality (k) can be found using the formula k = y/x.

Front

If a graph does not pass through the origin, what can you conclude?

Back

If a graph does not pass through the origin, it does not represent a proportional relationship.

Front

What does a linear graph indicate about the relationship between two variables?

Back

A linear graph indicates a constant rate of change between the two variables.

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.

Front

Can a graph be linear but not proportional?

Back

Yes, a graph can be linear but not proportional if it does not pass through the origin.

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.