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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. A completely messy house has a value of 100. What is the particular solution of M(t), if k is a constant? O M = 100+ 100ekt O M = 100 - 100ekt OM: = 100+ 100e-kt OM: = 100 - 100e-kt

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. A completely messy house has a value of 100. What is the particular solution of M(t), if k is a constant? O M = 100+ 100ekt O M = 100 - 100ekt OM: = 100+ 100e-kt OM: = 100 - 100e-kt

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
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The mess in a house can be measured by M(t). Assume that at M(0) : change in the mess is proportional to 100 M. A completely messy house has a value of 100. What is the particular solution of M(t), if k is a constant? OM ом = 100+ 100ekt O M = 100 100ekt - O M = 100 + 100e-kt O M = 100 - 100e-kt = 0, the house starts out clean. Over time the rate of
Transcribed Image Text:The mess in a house can be measured by M(t). Assume that at M(0) : change in the mess is proportional to 100 M. A completely messy house has a value of 100. What is the particular solution of M(t), if k is a constant? OM ом = 100+ 100ekt O M = 100 100ekt - O M = 100 + 100e-kt O M = 100 - 100e-kt = 0, the house starts out clean. Over time the rate of
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