Rekenmachine voor directe, omgekeerde en gezamenlijke variatie

Bereken rechtstreekse, omgekeerde en gezamenlijke evenredigheden stap voor stap

De rekenmachine zal de variatieconstante en andere waarden vinden voor opgaven met directe, omgekeerde (indirecte), gezamenlijke en gecombineerde variatie, met stapsgewijze uitwerking.

varies

as the power of of `

Write here the 'find `k`' 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 $$$y=k x$$$, $$$y=5$$$ when $$$x=2$$$ and find $$$x$$$ when $$$y=3$$$.

We have that $$$y=k x$$$.

Plug in the given values to find $$$k$$$: $$$5=k \cdot 2^{1}$$$.

Solving this equation, we obtain that $$$k=\frac{5}{2}$$$.

Now find $$$x$$$.

Plug in the given values and found $$$k$$$ to find $$$x$$$: $$$3=\frac{5 x^{1}}{2}$$$.

From this equation, we have that $$$x=\frac{6}{5}$$$.

Answer: the constant of variation is $$$k=\frac{5}{2}$$$, $$$x=\frac{6}{5}$$$.