Unit 2 MC #2 Proportional vs Nonproportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate. For example, if you double one quantity, the other quantity also doubles.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. For example, if one quantity increases but the other does not, the relationship is non-proportional.

Front

How can you identify a proportional relationship in a table?

Back

A proportional relationship in a table can be identified if the ratios of corresponding values are equal.

Front

What does it mean if a graph is linear?

Back

A linear graph represents a straight line, indicating a constant rate of change between the two variables.

Front

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

Back

Proportional graphs pass through the origin (0,0) and have a constant slope, while non-proportional graphs do not pass through the origin and have varying slopes.

Front

If a table shows the number of dogs and their paws, how do you determine if it's proportional?

Back

Count the total number of paws for each number of dogs. If the ratio of paws to dogs is constant, the relationship is proportional.

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 each apple costs the same amount. If you buy 2 apples for $2, then 4 apples will cost $4.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is a taxi fare that has a base fee plus a charge per mile. The total cost does not have a constant ratio to the distance traveled.

Front

How do you determine if a relationship is linear?

Back

A relationship is linear if it can be represented by a straight line on a graph, indicating a constant rate of change.

Front

What does it mean for a relationship to be linear but non-proportional?

Back

A linear but non-proportional relationship means that while the relationship can be represented by a straight line, it does not pass through the origin.