Question

Tell whether x and y show direct variation.
xy=5

Answer 1

direct variation is when a=x/y a stays constant so when x goes up, then y also goes up so lets say a=2 then 2=x/y so if x is 2 then y=1 if x is 4 then y=2

indirect variation is a=xy where when x goes down y goes up so less say a=2 then if x=2 then y=1 if x=1 then y=2


for number 9. it shows direct variation because when x goes up, y also must go up

Answer 2

Form of direct variation looks like y = kx, where k is any constant number (2, 3/4, 1/3, etc)

So here you have xy = 5.

Divide both sides by x, and you have y = 5/x.

So it is not direct variable, it is inverse variation.