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The mess in a house can be measured by M(t). Assume that at M(0) = 0, the house starts out clean. Over time the rate of change in the mess is proportional to (100 - M). After 5 hours the house has a mess index of 60. A completely messy house has a value of 100. How many hours does it take for the house to have a mess index of 95? O 8.25 O 12.35 O 16.37 O 25.47

The mess in a house can be measured by M(t). Assume that at M(0) = 0, the house starts out clean. Over time the rate of change in the mess is proportional to (100 - M). After 5 hours the house has a mess index of 60. A completely messy house has a value of 100. How many hours does it take for the house to have a mess index of 95? O 8.25 O 12.35 O 16.37 O 25.47

Calculus: Early Transcendentals
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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The mess in a house can be measured by M(t). Assume that at M(0) = 0, the house starts out clean. Over time the rate of change in the mess is proportional to (100 - M). After 5 hours the house has a mess index of 60. A completely messy house has a value of 100. How many hours does it take for the house to have a mess index of 95? 8.25 12.35 16.37 25.47
Transcribed Image Text:The mess in a house can be measured by M(t). Assume that at M(0) = 0, the house starts out clean. Over time the rate of change in the mess is proportional to (100 - M). After 5 hours the house has a mess index of 60. A completely messy house has a value of 100. How many hours does it take for the house to have a mess index of 95? 8.25 12.35 16.37 25.47
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