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
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: [tex]y=k_1x[/tex] This is a direct variation equation. Second variation equation is: [tex]g= \frac{k_2}{z} [/tex] 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). [tex]f(x,z)=y(x)g(z)= \frac{k_1k_2x}{z} [/tex] Since [tex]k_1 [/tex] and [tex]k_2[/tex] are only constants we can just combine them and call their product k. Our final function would be: [tex]f(x,z)=\frac{kx}{z} [/tex]
