Question

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Suppose that y varies jointly with w and x and inversely with z and y = 360 when w = 8, x = 25, and z = 5. Write the equation that models the relationship. Then find y when w = 4, x = 4, and z = 3.

Answer 1

If y varies jointly with w and x, we know that there's a \[y = wx\] portion. If it varies inversely with z, that means there's a \[y = 1/z\] portion. Altogether, that means \[y = kwx/z\] where \(k\) is some constant. You can use the known values of \( w,x,y,z\) to find \(k\) to complete the equation, then use it to find \(y\) with the other values.