Unit Rate & Prop. vs Non Prop. Relationships (Written)

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if it can be represented by a straight line through the origin on a graph, meaning that the ratio of the two quantities remains constant.

Front

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

Back

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

Front

Give 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, such as $2 per pound.

Front

What does a graph of a proportional relationship look like?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How can you find the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you have 150 miles in 3 hours, the unit rate is 150 miles ÷ 3 hours = 50 miles per hour.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is a situation where a fixed fee is added to a variable cost, such as a taxi fare that includes a base charge plus a charge per mile.

Front

What does it mean for a relationship to have a constant rate of change?

Back

A relationship has a constant rate of change if the change in one quantity is consistent with the change in another quantity, indicating a linear relationship.

Front

How can you identify a non-proportional relationship from a graph?

Back

A non-proportional relationship can be identified on a graph if the line does not pass through the origin or if it is not a straight line.