Proportional & Non-Proportional Relationships

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 quantity is constant.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio of one quantity to another is not constant.

Front

How can you identify a proportional relationship from a table?

Back

If the ratios of corresponding values are equal, the relationship is proportional.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit.

Front

How do you find the unit rate of 624 calories in 3 servings?

Back

Divide 624 by 3 to get 208 calories per serving.

Front

What does the rate of change represent?

Back

The rate of change represents how much one quantity changes in relation to another quantity.

Front

What is the formula for calculating the rate of change?

Back

Rate of change = (Change in y) / (Change in x).

Front

If the cost increases by $75 for every 1 mile, what is the rate of change?

Back

Front

Can a linear equation represent a proportional relationship?

Back

Yes, if the linear equation passes through the origin (0,0), it represents a proportional relationship.

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.