Proportions in 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 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 determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are equal.

Front

What is the equation for a proportional relationship?

Back

The equation for a proportional relationship is typically 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

What does the equation y = 4.25x represent in a real-world context?

Back

It represents the total cost (y) of x pounds of cheddar cheese at $4.25 per pound.

Front

How can you find a missing value in a proportional table?

Back

You can find a missing value by using the constant of proportionality to set up a proportion.

Front

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

Back

In this equation, y is half of x.

Front

If the constant of proportionality is 5, what is the equation?

Back

The equation is y = 5x.

Front

What does it mean if a table does not show a constant ratio?

Back

It means that the relationship between the quantities is not proportional.