Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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please use one of the equations given.
The general model for exponential growth is y =a(b)x where b > 1 The general model for exponential decay. is y = a(b)x where 0 < b < 1 %3D If there is a growth or decay period the model is y = a(b)* where: b is the growth or decay factor a is the initial population or value p is the time it takes to grow or decay by the given factor
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Transcribed Image Text:The general model for exponential growth is y =a(b)x where b > 1 The general model for exponential decay. is y = a(b)x where 0 < b < 1 %3D If there is a growth or decay period the model is y = a(b)* where: b is the growth or decay factor a is the initial population or value p is the time it takes to grow or decay by the given factor
5. a) The population of a bacteria colony triples every 4 hours. If the population now is 100, what expression would give me the population of the colony in the future? What is the population of the colony tomorrow at this time? b) Three years ago I purchased a car for $35000.00. I just found out the car has a value of $20012.55. A) Create an algebraic model to represent this depreciation. B) Use this model to estimate the value of the car after 5 years.
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Transcribed Image Text:5. a) The population of a bacteria colony triples every 4 hours. If the population now is 100, what expression would give me the population of the colony in the future? What is the population of the colony tomorrow at this time? b) Three years ago I purchased a car for $35000.00. I just found out the car has a value of $20012.55. A) Create an algebraic model to represent this depreciation. B) Use this model to estimate the value of the car after 5 years.
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