Exponential and are powerful tools for describing real-world phenomena. They're used to predict growth and decay in various fields, from biology to finance. These models help us understand how things change over time, whether it's bacteria multiplying or investments growing.
Selecting the right model is crucial for accurate predictions. We'll learn to identify patterns in data, choose between exponential and logistic models, and analyze their behavior. We'll also explore the and its role in simplifying these models for practical applications.
Exponential and Logarithmic Models
Applications of exponential models
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Section 5.8: Exponential Growth and Decay; Newton’s Law of Cooling | Precalculus Corequisite View original
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Model exponential growth and decay | College Algebra View original
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Applications of Exponential and Logarithmic Functions | Boundless Algebra View original
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Section 5.8: Exponential Growth and Decay; Newton’s Law of Cooling | Precalculus Corequisite View original
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Model exponential growth and decay | College Algebra View original
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Top images from around the web for Applications of exponential models
Section 5.8: Exponential Growth and Decay; Newton’s Law of Cooling | Precalculus Corequisite View original
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Model exponential growth and decay | College Algebra View original
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Applications of Exponential and Logarithmic Functions | Boundless Algebra View original
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Section 5.8: Exponential Growth and Decay; Newton’s Law of Cooling | Precalculus Corequisite View original
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Model exponential growth and decay | College Algebra View original
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describe quantities increasing by constant percent over regular intervals
General form: y=a(1+r)t with a initial amount, r growth rate, t time
Examples: population growth (bacteria), (investments)
represent quantities decreasing by fixed percent at consistent intervals
General form: y=a(1−r)t with a initial amount, r decay rate, t time