Suppose that the online retailer Amazon needs to use larger and larger cardboard boxes over time. One particular model of tall cardboard box with a square base keeps being changed so that its volume increases by 80 cubic inches each year, while its height increases by 0.5 inches each year. What is the rate of change of the width of the box when the box has a height of 30 inches and a width of 20 inches? Show all of your work.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.2: Evaluate And Graph Exponential Functions
Problem 10.33TI: Another researcher at the Center for Disease Control and Prevention, Lisa, is studying the growth of...
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Suppose that the online retailer Amazon needs to use larger and larger cardboard boxes over
time. One particular model of tall cardboard box with a square base keeps being changed so
that its volume increases by 80 cubic inches each year, while its height increases by 0.5 inches
each year. What is the rate of change of the width of the box when the box has a height of 30
inches and a width of 20 inches? Show all of your work.
Transcribed Image Text:Suppose that the online retailer Amazon needs to use larger and larger cardboard boxes over time. One particular model of tall cardboard box with a square base keeps being changed so that its volume increases by 80 cubic inches each year, while its height increases by 0.5 inches each year. What is the rate of change of the width of the box when the box has a height of 30 inches and a width of 20 inches? Show all of your work.
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