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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

The variable z varies jointly with the product of x and y.Find an equation that relates-example-1
User Florinmatinca
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1 Answer

29 votes
29 votes

Answer:


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)

User Caballero
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