Proportional and Non-proportional Relationship

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

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant, often represented by a linear equation with a y-intercept.

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, $3.60 for 3 pounds of apples gives a unit rate of $1.20 per pound.

Front

What does it mean if a graph goes through the origin?

Back

If a graph goes through the origin (0,0), it indicates a proportional relationship.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run between two points on the line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, meaning there is no change in the x-value as the y-value changes.

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 per one unit.

Front

How can you tell if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratios of corresponding values are constant.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.