Proportional Relationships

Front

What is a proportional relationship?

Back

A relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1. For example, 60 miles per 1 hour.

Front

How can you identify a proportional relationship 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 go through the origin?

Back

If a graph does not go through the origin, it indicates a non-proportional relationship.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of one quantity to another in a proportional relationship, often represented as 'k'.

Front

How do you find the constant of proportionality from a table of values?

Back

Divide the value of one quantity by the corresponding value of the other quantity for any pair of values.

Front

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

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.

Front

If a line on a graph is steep, what does that indicate about the relationship?

Back

A steep line indicates a larger constant of proportionality, meaning a greater change in y for a change in x.

Front

What is the formula for finding the unit rate?

Back

Unit Rate = Total Quantity / Number of Units.