# Exponential Decay

Learn to use exponential decay equations and interpret graphs of real-world situations.

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### Requirements

Learn about exponential decay in real-world situations. Problems involve the application of depreciation of an asset and radioactive decay. Learn to apply exponential decay equations and interpret graphs. This is the last of three activities for teaching and learning about exponential functions in algebra: Graphing Exponential Equations; Exponential Growth; and Exponential Decay.

» Lesson Plan and Student Assessment documents are also available.

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## COMMON CORE STATE STANDARDS FOR MATHEMATICS (2010)

CCSS.MATH.CONTENT.HSF.IF.C.7.E Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

CCSS.MATH.CONTENT.HSF.IF.C.8.B Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)ᵗ, y = (0.97)ᵗ, y = (1.01)12ᵗ, y = (1.2)ᵗ/10, and classify them as representing exponential growth or decay.

CCSS.Math.Content.HSF-BF.B.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

<a href="">The Concord Consortium. Exponential Decay. Concord: The Concord Consortium, 2014, July 31.</a>

AIP
Exponential Decay (The Concord Consortium, Concord, 2014, July 31), WWW Document, (https://concord.org/).

AJP
Exponential Decay (The Concord Consortium, Concord, 2014, July 31), WWW Document, (https://concord.org/).

APA
Exponential Decay. (2014, July 31). Retrieved 2017, August 20, from The Concord Consortium: https://concord.org/

Disclaimer: The Concord Consortium offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure.

### Requirements

This activity runs entirely in a Web browser. Preferred browsers are: Google Chrome (versions 30 and above), Safari (versions 7 and above), Firefox (version 30 and above), Internet Explorer (version 10 or higher), and Microsoft's Edge.

### Related Resources

This resource is a part of the Concord Consortium's SmartGraphs project.

Middle School, High School
Subject
Mathematics
Focus Area
Modeling and Simulation
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