Representing Proportional Relationships With 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 is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Front

How do you write an equation for a proportional relationship?

Back

To write an equation for a proportional relationship, identify the constant of proportionality and use the form y = kx.

Front

If y = 1/4x, what is the constant of proportionality?

Back

The constant of proportionality is 1/4.

Front

If y = 19.25x, what is the constant of proportionality?

Back

The constant of proportionality is 19.25.

Front

What does it mean if the constant of proportionality is undefined?

Back

If the constant of proportionality is undefined, it means that the relationship between the quantities is not proportional.

Front

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

Back

To find the constant of proportionality from a table, divide the y-value by the corresponding x-value for any pair of values.

Front

What is the equation for a proportional relationship if the constant of proportionality is 9?

Back

The equation is y = 9x.

Front

If the constant of proportionality is 75, what is the equation?

Back

The equation is y = 75x.

Front

What is the relationship between proportional relationships and graphs?

Back

Proportional relationships graph as straight lines that pass through the origin (0,0).