The graph shows an inverse variation.
Inverse variations are \(z=xy\). \(z\) in this case is 10. If you take each column and multiply them together, you get 10. This shows that the relation is inversed.
Thanks, Coop!!!!!....here's one more way to determine this :
If direct we have that
y = ax so
2 = a(5)
a = 2/5
So......looking at x = 10
y = (2/5)* 10 = 4
But y should = 1
So....not direct
If inverse, we have that
y = a/x
2 = a/ 5
10 = a
So.....looking at x = 10, we have that
y = 10 / 10 = 1
Which is exactly what we require......so.......inverse