VARIATION

Front

What is Direct Variation?

Back

Direct Variation is a relationship between two variables where they increase or decrease together. If one variable increases, the other also increases, and vice versa.

Front

What is Inverse Variation?

Back

Inverse Variation is a relationship where one variable increases while the other decreases. If one quantity goes up, the other goes down.

Front

What is Joint Variation?

Back

Joint Variation involves three or more variables that vary directly with one another. For example, if y varies jointly with x and z, then y = kxz for some constant k.

Front

What is Combined Variation?

Back

Combined Variation is a relationship that involves both direct and inverse variation. It can be expressed as a combination of both types.

Front

If y varies directly with x, what is the equation that represents this relationship?

Back

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

Front

If y varies inversely with x, what is the equation that represents this relationship?

Back

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

Front

How do you solve a problem involving direct variation?

Back

Identify the constant of variation (k) using known values, then use the equation y = kx to find unknown values.

Front

How do you solve a problem involving inverse variation?

Back

Identify the constant of variation (k) using known values, then use the equation y = k/x to find unknown values.

Front

In a direct variation problem, if y = 10 when x = 2, what is the constant of variation (k)?

Back

k = y/x = 10/2 = 5.

Front

In an inverse variation problem, if y = 4 when x = 3, what is the constant of variation (k)?

Back

k = y * x = 4 * 3 = 12.