2.9-2.12 Variation Flashcard Review

Front

What is joint variation?

Back

Joint variation occurs when a variable depends on two or more other variables. For example, if w varies jointly with x and z, it can be expressed as w = kxz.

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 where one variable increases as the other decreases. It can be expressed as y = k/x, where k is a non-zero constant.

Front

Identify the equation that represents direct variation.

Back

y = kx.

Front

Identify the equation that represents inverse variation.

Back

y = k/x.

Front

What does the equation w = 10chs represent?

Back

It represents joint variation.

Front

Write the equation for w that varies inversely with y and jointly with x and z.

Back

w = (axz)/y.

Front

What type of variation is represented by the equation w = az/y?

Back

Inverse variation.

Front

Does the equation y = mx + b represent direct variation?

Back

No, it represents a linear equation with a y-intercept.

Front

What is the general form of a direct variation equation?

Back

y = kx, where k is a constant.