IB Class 10 Mathematics – Group 5, Algebra | 11.Exponential Growth and Decay by Abraham | Learn Smarter
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11.Exponential Growth and Decay

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Sections

  • 1

    Exponential Growth And Decay

    This section introduces exponential functions, emphasizing the differences between exponential growth and decay.

    Learning Practice

  • 1.1

    Introduction

    This section introduces the concept of exponential growth and decay, emphasizing their significance in modeling real-world scenarios.

    Learning Practice

  • 1.2

    Key Concepts

    This section introduces exponential functions and their applications in modeling growth and decay in various real-world scenarios.

    Learning Practice

  • 1.2.1

    Exponential Functions

    Exponential functions model growth or decay processes where the rate of change is proportional to the current value, differing from linear processes.

    Learning Practice

  • 1.2.2

    Exponential Growth

    Exponential growth involves quantities increasing at a constant percentage over time, modeled mathematically with specific formulas.

    Learning Practice

  • 1.2.2.1

    Formula

    This section introduces exponential growth and decay, explaining their formulas and applications.

    Learning Practice

  • 1.2.2.2

    Example 1

    This section introduces exponential growth and decay, explaining their mathematical modeling and key formulas.

    Learning Practice

  • 1.2.3

    Exponential Decay

    This section covers the concept of exponential decay, including its definition, formula, and real-world applications.

    Learning Practice

  • 1.2.3.1

    Formula

    This section delves into the fundamental formulas governing exponential growth and decay, highlighting their applications in real-world scenarios.

    Learning Practice

  • 1.2.3.2

    Example 2

    This section explores exponential decay through a financial example, demonstrating how asset value decreases over time.

    Learning Practice

  • 1.3

    Important Points

    Exponential growth and decay are central concepts in algebra that describe processes increasing or decreasing at rates proportional to their current value.

    Learning Practice

  • 1.4

    Graphical Representation

    This section explains the graphical representation of exponential functions, distinguishing between exponential growth and decay.

    Learning Practice

  • 1.5

    Real-World Applications

    This section explores various real-world scenarios where exponential growth and decay are applicable, highlighting their significance in different fields.

    Learning Practice

  • 1.6

    Practice Problems

    This section presents practice problems focused on exponential growth and decay concepts.

    Learning Practice

  • 1.6.1

    Set 1 – Exponential Growth

    This section introduces exponential growth, characterized by a constant rate of increase, and provides essential formulas alongside real-world applications.

    Learning Practice

  • 1.6.2

    Set 2 – Exponential Decay

    Exponential decay describes how a quantity decreases at a rate proportional to its current value over time.

    Learning Practice

  • 1.7

    Solutions (Selected)

    This section provides the solutions for select exponential growth and decay problems, showcasing the application of formulas in real-world scenarios.

    Learning Practice

  • 1.8

    Chapter Summary

    This section introduces the concept of exponential growth and decay, contrasting it with linear change, and presents key formulas and examples to illustrate these concepts.

    Learning Practice

References

10 IB algebra ch11.pdf

Class Notes

Memorization

Revision Tests