If z varies directly with the product of x and y(z=k x y) , then z is said to vary jointly with x and y .

c. Suppose z varies jointly with x and y , and x varies directly with w . Show that z varies jointly with w and y .

A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.

Solving for the value of constant of variation

When a quantity varies directly with others, then we have a relation, y = kx, where k is the constant of the proportion

Given relation is z = kxy —-- 1

Also x varies directly with w i.e. x = k'w, where k' is constant of variation for x and w

Using in equation 1, we have,

z = k(k'w)y

z = kk'wy

z = Kwy, where K is constant of variation i.e. K = kk'

It shows that z varies directly with w and y.

Hence, z varies jointly with w and y.

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If z varies directly with the product of x and y(z=k x y) , then z is said to vary jointly with x and y . c. Suppose z varies jointly with x and y , and x varies directly with w . Show that z varies jointly with w and y .

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Otras preguntas

If z varies directly with the product of x and y(z=k x y) , then z is said to vary jointly with x and y .

c. Suppose z varies jointly with x and y , and x varies directly with w . Show that z varies jointly with w and y .