Räknare för direkt, omvänd och gemensam proportionalitet

Beräkna direkt, omvänd och gemensam proportionalitet steg för steg

Kalkylatorn bestämmer proportionalitetskonstanten och andra värden för uppgifter om direkt, omvänd (indirekt), gemensam och kombinerad variation, med stegvisa lösningar.

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.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please contact us.

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 $$$k=\frac{5}{2}$$$, $$$x=\frac{6}{5}$$$.