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Calculadora de variação direta, inversa e conjunta

Calcular variações diretas, inversas e conjuntas, passo a passo

A calculadora encontrará a constante de variação e outros valores para os problemas de variação direta, inversa (indireta), conjunta e combinada, com as etapas mostradas.

varies
as the power of of
as the power of of
as the power of of
Write here the 'find ' condition. For example, write x=3, y=5, z=15, if you are given "z=15, when x=3, y=5".
Write here the 'find variable' condition. For example, write y=2, z=10, if you are given "find x, when y=2, z=10".
If you don't need to find a variable, leave this field empty.

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Solution

Your input: find the constant of variation k given z=kx2y, z=7 when x=5 and y=3 and find y when z=12 and x=1.

We have that z=kx2y.

Plug in the given values to find k: 7=k5231.

Solving this equation, we obtain that k=2125.

Now find y.

Plug in the given values and found k to find y: 12=2112y125.

From this equation, we have that y=7100.

Answer: the constant of variation is k=2125, y=7100.