Question

A shipping company charges based on calculations of the volume of a rectangular box and the sum of the dimensions of the

box. A square rectangular prism has a side length represented by the linear function f(x), and a height represented by the
linear function g(x).
X
3
4
8
V(x) = (f f-g)(x) S(x) = (f+f+g)(x)
15
2410
35
12
48
Which statement describes the combined functions V(x) and S(x)?
The volume function is linear but the sum function is not
The sum function is linear but the volume function is not
Both the volume function and the sum function are linear
Neither the volume function nor the sum function is linear

Answer 1

B. The sum function is linear but the volume function is not

Explanation:

We are given that f(x) and g(x) are linear. Due to this, the sum function S(x) is linear.

And we know the shape of our figure, so we just need to multiply the dimensions for V(x) but the product of three linear functions results in a cubic function, and we conclude V(x) is not linear.

Glad to answer.