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 there are 405 rotations in 5 minutes, the unit rate is 405 ÷ 5 = 81 rotations per minute.

Front

What does it mean if a table represents a proportional relationship?

Back

If a table represents a proportional relationship, it means that as one quantity increases, the other quantity increases at a constant rate, maintaining a consistent ratio.

Front

How can you determine if a graph is proportional?

Back

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

Front

What is the unit rate for a job that pays $56 for 8 hours of work?

Back

The unit rate is $56 ÷ 8 hours = $7 per hour.

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 do you identify a proportional relationship from a set of data points?

Back

To identify a proportional relationship, check if the ratios of corresponding values are equal. If they are, 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 speed of a car, where distance traveled is proportional to time taken at a constant speed.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, it means that the ratio between the two quantities is not constant; it changes as the quantities change.

Front

How can you represent a proportional relationship with an equation?

Back

A proportional relationship can be represented by the equation y = kx, where k is the constant of proportionality.