Question 265136: I have trouble with word problems,I don't know where to begin. The problem is Plastics Unlimited plans to produce a one component vertical file by bending the long side of an 8-in. by 14-in. sheet of plastic along two lines to form a U shape.
A. Express the volume of the file as a function of the height x, in inches, of the file.
B. Find the domain of the function.
Thank You for your help.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! produce a one component vertical file by bending the long side of an 8-in. by 14-in. sheet of plastic along two lines to form a U shape.
:
A. Express the volume of the file as a function of the height x, in inches, of the file.
Height is given as x, therefore the width = (14-2x): x|__|x is the shape
Vol = x*(14-2x)*8
V = (-2x^2 + 14x) * 8
V = -16x^2 + 112x
:
B. Find the domain of the function.
Looking at the expression (14-2x), the domain has to be >0 and <7
|
|
|
