Question

A rectangular box is to have a square base and a volume of 10 ft$^3$. The material for the base costs 29 cents/ft$^2$, the material for the top costs 23 cents/ft$^2$, and the material for the sides costs 18 cents/ft$^2$. If $x$ denotes the length of one side of the base (in feet), find a function in the variable $x$ giving the total cost of materials used in constructing the box in cents. $\bigcirc \ 52x^2 + \frac{720}{x}$ $\bigcirc \ 52x^2 + \frac{180}{x}$ $\bigcirc \ 52x^2 + \frac{180}{x^2}$ $\bigcirc \ 52x^2 + \frac{72}{x}$ $\bigcirc \ 52x^2 + \frac{720}{x^2}$ What is the domain of the function? $\bigcirc \ (0, 10)$ $\bigcirc \ (1, 10)$ $\bigcirc \ (-\infty, 0) \cup \ (0, \infty)$ $\bigcirc \ (0, \infty)$ $\bigcirc \ (-\infty, \infty)$

          A rectangular box is to have a square base and a volume of 10 ft$^3$. The material for the base costs 29 cents/ft$^2$, the material for the top costs 23 cents/ft$^2$, and the material for the sides costs 18 cents/ft$^2$. If $x$ denotes the length of one side of the base (in feet), find a function in the variable $x$ giving the total cost of materials used in constructing the box in cents.
$\bigcirc \ 52x^2 + \frac{720}{x}$
$\bigcirc \ 52x^2 + \frac{180}{x}$
$\bigcirc \ 52x^2 + \frac{180}{x^2}$
$\bigcirc \ 52x^2 + \frac{72}{x}$
$\bigcirc \ 52x^2 + \frac{720}{x^2}$
What is the domain of the function?
$\bigcirc \ (0, 10)$
$\bigcirc \ (1, 10)$
$\bigcirc \ (-\infty, 0) \cup \ (0, \infty)$
$\bigcirc \ (0, \infty)$
$\bigcirc \ (-\infty, \infty)$

A rectangular box is to have a square base and a volume of 10 ft^3. The material for the base costs 29 cents/ft^2, the material for the top costs 23 cents/ft^2, and the material for the sides costs 18 cents/ft^2. If x denotes the length of one side of the base (in feet), find a function in the variable x giving the total cost of materials used in constructing the box in cents.
◯ 52x^2 + (720)/(x)
◯ 52x^2 + (180)/(x)
◯ 52x^2 + (180)/(x^2)
◯ 52x^2 + (72)/(x)
◯ 52x^2 + (720)/(x^2)
What is the domain of the function?
◯ (0, 10)
◯ (1, 10)
◯ (-∞, 0) ∪ (0, ∞)
◯ (0, ∞)
◯ (-∞, ∞)

Added by Ronald B.

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