Question

z varies inversely with the product of x and y if z=36 when x=4 and y=2

Answer 1

Do you know what inverse variation means?

Answer 2

i need to figure out how to set it up then plug in the numbers and i cant find out how to set it up

Answer 3

Yes, but the first thing is to understand the relationship: when someone says "x varies inversely with y", what does that mean?

Answer 4

choose one of these two options:

1) y = kx
2) y = k/x (or xy = k)

Answer 5

i tried to use z=kx/y and that was not the right one

Answer 6

you need to use \[z = \frac{k}{xy}\]because \(z\) varies inversely with the product of \(xy\)