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 y = kx.

Front

How do you write an equation for a proportional relationship?

Back

An equation for a proportional relationship can be written in the form p = kw, where p is the dependent variable, w is the independent variable, and k is the constant of proportionality.

Front

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

Back

The ordered pair (x, y) represents a specific point on the graph of the proportional relationship, where x is the independent variable and y is the dependent variable.

Front

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

Back

A table of values represents a proportional relationship if the ratio of the dependent variable to the independent variable is constant for all pairs of values.

Front

What is the significance of the point (0, 0) in a proportional relationship?

Back

The point (0, 0) indicates that when the independent variable is zero, the dependent variable is also zero, which is a characteristic of proportional relationships.

Front

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

Back

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

Front

How do you find the constant of proportionality from an equation?

Back

To find the constant of proportionality from an equation in the form y = kx, identify the coefficient k.

Front

What is the relationship between the graph of a proportional relationship and the origin?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0, 0).

Front

What does the point (2, 94) indicate in a savings context?

Back

The point (2, 94) indicates that after 2 weeks, a total of $94 has been saved.