Answer: The value of z = 56
Explanation:
Since we have given that
Z varies jointly with x and y i.e.
z=2 and y=2 then, z=7
So, our required equation becomes
[tex]z=kxy[/tex]
Here, we put our first value of x, y and z ,
We get,
[tex]7=k\times 2\times 2\\\\7=k\times 4\\\\\frac{7}{4}=k[/tex]
Now, if we have x=4 and y=8 then z is given by
[tex]z=\frac{7}{4}\times 4\times 8\\\\z=7\times 8\\\\z=56[/tex]
Hence, the value of z is 56 which varies jointly with x and y.