If \( y \) varies jointly as \( x \) and \( z \) and \( y = 60 \) when \( x = 3 \) and \( z = 4 \), find \( y \) when \( x \) is 6 and \( z \) is 8.
Answer (2)
In problems involving joint variation, we first find the constant of variation by substitifying given values into the joint variation equation. Then we use this constant to find the unknown value. For the given conditions, the value of y when x = 6 and z = 8 is 240. ;
The value of y when x = 6 and z = 8 is 240. To find this, we first determined the constant of variation, k , using known values of y , x , and z . Then we used the equation y = k x z to find the unknown value of y .
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