Solve the Problem $$f ( x ) = x ^ { 3 }$$

question 132

Multiple Choice

Solve the problem.
-The function f $$f ( x ) = x ^ { 3 }$$ describes the volume of a cube, f(x) , in cubic inches, whose length, width, and height each measure x inches. Find the instantaneous rate of change of the volume with respect to x when x = 4 inches.

• A) 12 cubic inches per inch
• B) 49.21 cubic inches per inch
• C) 48 cubic inches per inch
• D) 192 cubic inches per inch

---

Definitions:

Funding

The act of providing financial resources, typically in the form of money, or other values such as effort or time, to support a program, project, business, or individual.

Scarcity

A fundamental economic problem of having seemingly unlimited human wants in a world with limited resources, which leads to the necessity of making choices on how to allocate resources.

Resources

Assets or inputs used in the production of goods and services, such as time, labor, and capital.

Economy

An extensive network of activities related to producing, consuming, and exchanging that assists in allocating limited resources.