Question

A company ships coffee mugs using boxes in the shape of cubes. The function g(x) = gives the side length, in inches, for a cube with a volume of x cubic inches. Suppose the company decides to double the volume of the box. Which graph represents the new function?

Answer 1

Answer:

The graph is attached below.

Step-by-step explanation:

The volume of the box containing the coffee mugs is,

$V=x^{3}$

Then the function representing the side length, in inches, for the box is:

$g(x)=x$

Now, it is provided that the company decides to double the volume of the box.

That is, the new volume will be:

$V_{n}=2x^{3}$

Then the side length, in inches, for the box will be:

$g_{n}(x)=\sqrt[3]{2x^{3}} =\sqrt[3]{2}x$

Then the graph representing the function, formed using the following points is:

$x\ \ \ \ \ \ \ \ \ g_{n}(x)\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\0\ \ \ \ \ \ \ \ \ \ \ 0\\1\ \ \ \ \ \ \ \ \ \ \ 2^{1/3}$

Answer 2

Answer:

c

Step-by-step explanation: