Direct, Inverse, & Joint Variation

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.

Front

What is inverse variation?

Back

Inverse variation is a relationship between two variables where the product of the variables is a constant. It can be expressed as y = k/x, where k is a non-zero constant.

Front

What is joint variation?

Back

Joint variation is a relationship where a variable varies directly with the product of two or more other variables. It can be expressed as y = kxz, where k is a non-zero constant and x and z are the other variables.

Front

If x varies inversely as v, and x = 35 when v = 3, find x when v = 15.

Back

7

Front

State what type of variation the equation y = k/x represents.

Back

Inverse

Front

Which of the following is NOT a direct variation? y = -2x, y = 1/2x, 2x + 3y = 2, 3y = 4x.

Back

2x + 3y = 2

Front

What is the constant (k) in the inverse variation equation y = 400/x?

Back

400

Front

The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 5 cm on a side is 250 g, find the weight of the liquid in a cubical container 3 cm on a side.

Back

54 g

Front

What is the formula for direct variation?

Back

y = kx, where k is the constant of variation.

Front

What is the formula for inverse variation?

Back

y = k/x, where k is the constant of variation.