Consider a storage box with a square base. Let the square base measure x cm by x cm, and let y represent the height of the box in centimeters. Let V represent the volume of the box, measured in cubic centimeters. Write an equation for V in terms of x and y. V = Let C represent the cost of the box, measured in dollars. The volume of the box must be 80 cubic centimeters. Further, the top and bottom of the box cost $0.60 per square centimeter and the sides cost $0.30 per square centimeter. Use this information to write an equation for C in terms of x. C(x) = Find C'(x) and C"(x). C'(x) = C"(x) =
Consider a storage box with a square base. Let the square base measure x cm by x cm, and let y represent the height of the box in centimeters. Let V represent the volume of the box, measured in cubic centimeters. Write an equation for V in terms of x and y. V = Let C represent the cost of the box, measured in dollars. The volume of the box must be 80 cubic centimeters. Further, the top and bottom of the box cost $0.60 per square centimeter and the sides cost $0.30 per square centimeter. Use this information to write an equation for C in terms of x. C(x) = Find C'(x) and C"(x). C'(x) = C"(x) =
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 508E: The area of the face of a Ferris wheel varies directly with the square of its radius. If the area of...
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Consider a storage box with a square base. Let the square base measure x cm by x cm, and let y represent the height of the box in centimeters. Let V represent the volume of the box, measured in cubic centimeters. Write an equation for V in terms of x and y.
V = _______
Let C represent the cost of the box, measured in dollars. The volume of the box must be 80 cubic centimeters. Further, the top and bottom of the box cost $0.60 per square centimeter and the sides cost $0.30 per square centimeter. Use this information to write an equation for C in terms of x.
C(x) = _______
Find C'(x) and C''(x).
Transcribed Image Text:Consider a storage box with
square base. Let the square base measure x cm by x cm, and let y represent the height of the box in centimeters. Let V
represent the volume of the box, measured in cubic centimeters. Write an equation for V in terms of x and y.
V =
Let C represent the cost of the box, measured in dollars. The volume of the box must be 80o cubic centimeters. Further, the top and bottom of the box cost
$0.60 per square centimeter and the sides cost $0.30 per square centimeter. Use this information to write an equation for C in terms of x.
C(x) =
Find C'(x) and C"(x).
C'(x) =
C"(x) =
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