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

How do you set up a proportion?

Back

To set up a proportion, you create an equation that states that two ratios are equal, often written as a/b = c/d.

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the constant value that relates two proportional quantities, often represented in the equation y = kx.

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality, divide the output value (y) by the input value (x) for any pair of values in the table.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is typically written as y = kx, where k is the constant of proportionality.

Front

How do you determine if a table shows a constant rate of change?

Back

A table shows a constant rate of change if the ratio of the change in y to the change in x is the same for all pairs of values.

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 can you predict values in a proportional relationship?

Back

You can predict values in a proportional relationship by using the constant of proportionality to set up a proportion or by using the equation y = kx.

Front

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

Back

In a proportional relationship, the line passes through the origin (0,0), indicating that when x = 0, y is also 0.

Front

How do you graph a proportional relationship?

Back

To graph a proportional relationship, plot points that represent the pairs of values and draw a straight line through the origin.