A closed square bottomed rectangular box will be constructed out of two types of materials. W h W The material for the four vertical sides costs 3 dollars per square foot and the material for the top and bottom costs 7 dollars per square foot. V(W) = (a) Which of the following expressions represents the total cost of building the box? O 14wh + 12w² O 3wh + 7w² O 12wh + 14w² O24wh + 14w² O 12wh + 7w² (b) Suppose the total cost of building the box is $500. With the help of your answer in part (a), express the volume of the box in terms of w only. You do not need to simplify your answer.
A closed square bottomed rectangular box will be constructed out of two types of materials. W h W The material for the four vertical sides costs 3 dollars per square foot and the material for the top and bottom costs 7 dollars per square foot. V(W) = (a) Which of the following expressions represents the total cost of building the box? O 14wh + 12w² O 3wh + 7w² O 12wh + 14w² O24wh + 14w² O 12wh + 7w² (b) Suppose the total cost of building the box is $500. With the help of your answer in part (a), express the volume of the box in terms of w only. You do not need to simplify your answer.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:A closed square bottomed rectangular box will be constructed out of two types of materials.
W
O 12wh + 14w²
O 24wh + 14w²
O 12wh + 7w²
The material for the four vertical sides costs 3 dollars per square foot and the material for the top and bottom costs 7 dollars per square foot.
(a) Which of the following expressions represents the total cost of building the box?
O 14wh + 12w²
O 3wh + 7w²
V(w)
h
=
W
(b) Suppose the total cost of building the box is $500.
With the help of your answer in part (a), express the volume of the box in terms of w only.
You do not need to simplify your answer.
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