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

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

Front

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

Back

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

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the unit rate is not constant or it does not pass through the origin.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units.

Front

If a job pays $56 for 8 hours of work, what is the hourly rate?

Back

$7 per hour.

Front

If 3 pounds of apples cost $3.60, what is the cost per pound?

Back

$1.20 per pound.

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 y is the dependent variable and x is the independent variable.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

What does it mean for a graph to represent a proportional relationship?

Back

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