Equations for 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, expressed as y = kx.

Front

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

Back

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

Front

If Craig earns $37 for 4 hours, what is his hourly rate?

Back

$9.25 per hour.

Front

What is the equation for a proportional relationship with a constant of 5?

Back

y = 5x.

Front

How do you express a proportional relationship in the form y = kx?

Back

Identify the constant of proportionality (k) and write the equation using that constant.

Front

What does the equation y = ½x represent?

Back

It represents a proportional relationship where the constant of proportionality is ½.

Front

If 624 calories are in 3 servings, how many calories are in one serving?

Back

208 calories per serving.

Front

What is the formula to calculate the constant of proportionality?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

What does it mean if two quantities are directly proportional?

Back

It means that as one quantity increases, the other quantity increases at a constant rate.