Representing 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

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you have 30 laps in 10 minutes, the unit rate is 30 laps ÷ 10 minutes = 3 laps per minute.

Front

What does the slope of a graph represent in a proportional relationship?

Back

The slope of a graph in a proportional relationship represents the constant rate of change between the two variables.

Front

If Taylor can write 25 words per minute, how many words can he write in 5 minutes?

Back

In 5 minutes, Taylor can write 25 words/minute × 5 minutes = 125 words.

Front

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

Back

In proportional relationships, the ratio between the two quantities is constant, while in non-proportional relationships, the ratio changes.

Front

How can you determine if a table of values represents a proportional relationship?

Back

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

Front

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

Back

The unit rate is 60 miles ÷ 2 hours = 30 miles per hour.

Front

What does it mean if two quantities have the same rate of change?

Back

If two quantities have the same rate of change, they are changing at the same speed, meaning their relationship is proportional.

Front

How can you represent a proportional relationship on a graph?

Back

A proportional relationship can be represented on a graph as a straight line that passes through the origin (0,0).

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where k is the constant, y is the dependent variable, and x is the independent variable.