Question

The table shows the functions representing the height and the area of the base of a rectangular prism for different values of x.

The volume of the prism when x = 3 is 36. Which equation can be used to represent the volume of the prism, V(x)?

V(x) = (f ∙ g)(x)
V(x) = (g + f)(x)
V(x) = (f – g)(x)
V(x) = (g – f)(x)

Answer 1

V(x) = (f ∙ g)(x)

Explanation:

Note. There is no table attached.

However it can solved with remaining information given.

The volume of a prism is

• V = bh, where b is the area of the base, and h is the height

If we have a function for the volume V(x) it has to be equal to a product of functions for the area and the height

Therefore the function will be similar to:

• V(x) = (f*g)(x) which is effectively V(x) = f(x)*g(x), where functions f and g represent the area and height

So the correct option is the first one