Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-A rectangular box with volume 433 cubic feet is built with a square base and top. The cost is $\$ 1.50$ per square foot for the top and the bottom and $\$ 2.00$ per square foot for the sides. Let $x$ represent the length of a side of the base. Express the cost the box as a function of $x$ .

A) $C ( x ) = 3 x ^ { 2 } + \frac { 3,464 } { x }$
B) $C ( x ) = 4 x + \frac { 3,464 } { x ^ { 2 } }$
C) $C ( x ) = 3 x ^ { 2 } + \frac { 1,732 } { x }$
D) $C ( x ) = 2 x ^ { 2 } + \frac { 3,464 } { x }$