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 value (k) that relates two proportional quantities, often represented in the equation p = kw.

Front

How do you write an equation for a proportional relationship?

Back

An equation for a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

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 of another quantity.

Front

How do you find the unit rate from a proportional relationship?

Back

To find the unit rate, divide the value of one quantity by the value of the other quantity when the second quantity is equal to one.

Front

What does the point (x, y) represent in a proportional relationship?

Back

The point (x, y) represents a specific value of the dependent variable (y) for a given value of the independent variable (x) in a proportional relationship.

Front

What is the significance of the graph of a proportional relationship?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0), indicating that the two quantities are directly proportional.

Front

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

Back

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

Front

What is the relationship between weight and price in a proportional relationship?

Back

In a proportional relationship between weight (w) and price (p), the price is directly proportional to the weight, often expressed as p = kw.

Front

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

Back

The slope of a line in a proportional relationship represents the constant of proportionality (k).