A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. The graph below shows how the volume of the box in cubic inches, V, is related to the length of the side of the square cutout in inches, x. (1.7, 81.87) V a. The point (1.25, 77.188) is on the graph. This means that when the volume of the box is cubic inches, the cutout length is inches. b. When the cutout length is 3 inches, the volume of the box is 54 cubic inches. This means that the point is on the graph above. c. Suppose the largest possible cutout length is 4.5 inches. Over what interval of x does the volume of the box decrease as the cutout length gets larger? (Enter your answer as an interval.) Preview

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...
Question
A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. The graph
below shows how the volume of the box in cubic inches, V, is related to the length of the side of the square cutout in
inches, x.
(1.7, 81.87)
V
a. The point (1.25, 77.188) is on the graph. This means that when the volume of the box is
cubic
inches, the cutout length is
inches.
b. When the cutout length is 3 inches, the volume of the box is 54 cubic inches. This means that the point
is on the graph above.
c. Suppose the largest possible cutout length is 4.5 inches. Over what interval of x does the volume of the box
decrease as the cutout length gets larger? (Enter your answer as an interval.)
Preview
Transcribed Image Text:A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. The graph below shows how the volume of the box in cubic inches, V, is related to the length of the side of the square cutout in inches, x. (1.7, 81.87) V a. The point (1.25, 77.188) is on the graph. This means that when the volume of the box is cubic inches, the cutout length is inches. b. When the cutout length is 3 inches, the volume of the box is 54 cubic inches. This means that the point is on the graph above. c. Suppose the largest possible cutout length is 4.5 inches. Over what interval of x does the volume of the box decrease as the cutout length gets larger? (Enter your answer as an interval.) Preview
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