Question

The volume of a cube is a function of the side length. Similarly the surface area of a cube is a function of its side length which of these relationships is linear function construct an argument to justify your response

Answer 1

None is

Explanation:

Given

Volume and Surface area of a cube

Required

Which is linear

The volume of a cube is:

`V(x) = x^3`

While the surface are is:

`A(x) = 6x^2`

Where x represents the length of the side

A linear function construct is represented as:

`f(x) = mx + c`

By comparing A(x) and V(x) to f(x):

f(x) do not have any form of exponent while A(x) and V(x) have.

So, we can see that both functions are not linear