Question

The length of a rectangular box is 2 inches shorter than 3 times the width (x).The height is 4 inches.Which is the volume (y) function?

Answer 1

The volume function is:

V= Length x Width x Height

We seek how to express each measure as a function of X4

`\begin{gathered} \text{width = X} \\ \text{Length = 3X-2} \\ \text{Height = }4 \end{gathered}`

with clear measurments we can replace

`V=(3x-2)*(x)*(4)`

we can reduce the expression to have a more similar to the options

`V=(4x)*(3x-2)`

I used V for Volume but in the options is Y however it is not a problem

`Y=4x(3x-2)`