Graphing 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 is constant.

Front

How do you identify a proportional relationship in a table?

Back

A table represents a proportional relationship if the ratios of corresponding values are equal.

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 of one.

Front

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

Back

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

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not pass through the origin and does not maintain a constant ratio between the two quantities.

Front

What is the unit rate if a car travels 60 miles in 2 hours?

Back

The unit rate is 30 miles per hour.

Front

If a table shows the number of hours worked and the total pay, how can you tell if it is proportional?

Back

If the total pay divided by the number of hours worked gives the same value for all entries, it is proportional.

Front

What is the significance of the origin in graphing proportional relationships?

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero, which is a key characteristic of proportional relationships.

Front

How do you calculate the total distance traveled if a car drives at a constant speed?

Back

Total distance = speed × time.

Front

What is the slope of a line in a proportional relationship?

Back

The slope represents the unit rate in a proportional relationship.