Question

The variable z varies jointly with the product of x and y.Find an equation that relates the variables x, y, and z.The given values arex = -4, y = 3.2 =58

Answer 1

`z=-(5xy)/(96)`

Step-by-step explanation:

We're told that z varies jointly with the product of x and y. This can be represented as;

`\begin{gathered} z\propto xy \\ z=\text{kxy} \\ k=(z)/(xy) \end{gathered}`

We're also given the below values;

x = -4, y = 3, and z = 5/8

Let's go ahead and substitute these values into our equation and solve for k;

`k=((5)/(8))/(-4*3)=((5)/(8))/(-12)=(5)/(8)*(-(1)/(12))=-(5)/(96)`

Since k = -5/96, the equation can now be written as;

`z=-(5xy)/(96)`