Joint and Combined Variations

Front

What is Joint Variation?

Back

A relationship where one quantity increases or decreases proportionally as the product of two other quantities increases or decreases.

Front

What is Combined Variation?

Back

A type of variation in which one quantity varies directly or jointly with two or more quantities and inversely with other quantities.

Front

Translate: The momentum (p) of a body varies jointly with its mass (m) and velocity (v).

Back

Front

Back

FALSE

Front

If z varies jointly as x and y, and z = 60 when x = 5 and y = 6, find z when x = 7 and y = 6.

Back

z = 84.

Front

What is Direct Variation?

Back

A relationship where one quantity increases or decreases directly as another quantity increases or decreases.

Front

What is Inverse Variation?

Back

A relationship where one quantity increases as another quantity decreases.

Front

Provide an example of Joint Variation.

Back

If the area (A) of a rectangle varies jointly with its length (l) and width (w), then A = klw, where k is a constant.

Front

Provide an example of Combined Variation.

Back

If the pressure (P) of a gas varies directly with its temperature (T) and inversely with its volume (V), then P = k \frac{T}{V}.

Front

What is the formula for Direct Variation?

Back

y = kx, where k is a constant.