Indirect, Direct, and Joint Variation!!! - Adv. Algebra

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 Indirect Variation?

Back

Indirect variation (or 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

What is Joint Variation?

Back

Joint variation occurs when a variable varies directly with the product of two or more other variables. It can be expressed as z = kxy, where k is a non-zero constant.

Front

If f varies directly as x and f = 20 when x = 4, find f when x = 10.

Back

f = 50.

Front

If y varies inversely as x and y = 3 when x = 2, find y when x = 6.

Back

y = 1.

Front

If m varies jointly as p and q, and m = 24 when p = 2 and q = 3, find m when p = 4 and q = 6.

Back

m = 48.

Front

What is the formula for Direct Variation?

Back

The formula for direct variation is y = kx, where k is the constant of variation.

Front

What is the formula for Indirect Variation?

Back

The formula for indirect variation is y = k/x, where k is the constant of variation.

Front

What is the formula for Joint Variation?

Back

The formula for joint variation is z = kxy, where k is the constant of variation.

Front

If the weight of a liquid varies directly as its volume V, and the weight is 100 g when V = 2 L, find the weight when V = 5 L.

Back

Weight = 250 g.