The polynomial LaTeX: C\left(x\right)\:=\:6x^2\:+\:90xC ( x ) = 6 x 2 + 90 x gives the cost, in dollars, of producing a rectangular container whose top and bottom are squares with side x feet and height 6 feet. Find the cost of producing a box with x = 4 feet.

Respuesta :

Answer:

$456

Step-by-step explanation:

Given the cost of producing a rectangular container whose top and bottom are squares with side x feet and height 6 feet expressed by the polynomial function

C(x) = 6x²+90x

To find the cost of producing a box with x = 4feet, we will substitute x = 4 into the function as shown;

C(4) = 6(4)²+90(4)

C(4) = 6(16)+360

C(4) = 96+360

C(4) = 456

The cost is $456