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 find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if $3.60 is for 3 pounds of apples, the unit rate is $3.60 ÷ 3 = $1.20 per pound.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Front

What does it mean 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 equation of a proportional relationship?

Back

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of the two quantities in a proportional relationship, often represented by the letter k.

Front

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

Back

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

Front

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

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.

Front

What does it mean for a line to have a positive slope?

Back

A line with a positive slope rises from left to right, indicating that as one variable increases, the other variable also increases.

Front

What does it mean for a line to have a negative slope?

Back

A line with a negative slope falls from left to right, indicating that as one variable increases, the other variable decreases.