Proportional Tables and Equations

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 as y = kx.

Front

How do you identify a proportional relationship from a table?

Back

A proportional relationship can be identified from a table 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 in the form y = kx, where k is the constant of proportionality.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

How can you determine the constant of proportionality from a graph?

Back

The constant of proportionality can be determined from a graph by finding the slope of the line that passes through the origin.

Front

What does the slope represent in a proportional relationship?

Back

In a proportional relationship, the slope represents the constant of proportionality.

Front

Write an equation for a proportional relationship where the constant of proportionality is 5.

Back

y = 5x.

Front

What is the relationship between x and y in the equation y = 1/2x?

Back

The relationship is proportional, with a constant of proportionality of 1/2.

Front

How do you convert a proportional relationship into an equation?

Back

To convert a proportional relationship into an equation, identify the constant of proportionality and express it in the form y = kx.