Proportional or not

Front

What is a constant of proportionality?

Back

A constant of proportionality is a constant value that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Front

Identify a constant of proportionality from the following options: 2, 20, 40, 80.

Back

40

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

Which of the following represents a non-proportional relationship? Total distance traveled at a constant speed, total earnings at a constant rate, total fees with a base charge and additional charges, total savings at a constant rate.

Back

Total fees charged and number of carpeted rooms cleaned, if a carpet cleaning company charges $40 for the first room and $25 for each additional room.

Front

What does the equation y = 3.75x + 2 indicate about proportionality?

Back

There isn't a constant of proportionality because of the additional constant (2) in the equation.

Front

Write an equation for a situation where y is directly proportional to x with a constant of 19.25.

Back

y = 19.25x

Front

Does the equation y = 9.5x show a proportional relationship?

Back

Yes

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

If y = 5x, what is the constant of proportionality?

Back

5

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.