Question

Which of the following are inverse variations?

Select all that apply

y = 3x

y=4/x

y = 2x^2

xy = 3

Answer 1

Inverse variation means y = k/x (equivalently xy = k for constant k).

- y = 3x — not (this is direct variation)
- y = 4/x — yes (k = 4)
- y = 2x^2 — not (direct variation with x^2)
- xy = 3 — yes (equivalent to y = 3/x, k = 3)