Question

The graphs below show measurements from cubes with different side lengths.







Which pairs of variables have a linear relationship? Select two options.

side length and perimeter of 1 face
perimeter of 1 face and area of 1 face
surface area and volume
area of 1 face and surface area
side length and volume

Answer 1

- side length and perimeter of 1 face — linear, because perimeter = 4s (proportional to s).
- area of 1 face and surface area — linear, because surface area = 6 × (area of one face).

The other pairs are nonlinear (area ~ s^2, volume ~ s^3, etc.).