Question

Write a function that models a combined variation situation with two independent variables. Let one of the variables have a direct variation with the dependent variable, and the other one have an inverse

Answer 1

We can approach this problem in the following way:
1) We construct a variation equation for each variation
2) We combine these two
First variation equation would be:

`y=k_1x`
This is a direct variation equation.
Second variation equation is:

`g= (k_2)/(z)`
This is a inverse variation equation.
We combine these two by multiplying them. This will give us our final function.
Let us call it f(x,z).

`f(x,z)=y(x)g(z)= (k_1k_2x)/(z)`
Since
`k_1` and
`k_2` are only constants we can just combine them and call their product k.
Our final function would be:

`f(x,z)=(kx)/(z)`