Question

z varies inversely with the product of x and y. When x = 2 and y = 4, z = 0.5

What is the value of z when x = 4 and y = 9?

Answer 1

1/9

Answer 2

If \(z\) varies inversely with the product of \(x\) and \(y\), that means\[z = \frac{k}{xy}\]Plug in \(x=2,y=4, z=0.5\) and find \(k\)

Then use the formula with your new value of \(k\) to find \(z\) when \(x=4,y=9\)

Answer 3

thank you!