Math 1 - Lesson 2.6 Notes - Exponential Growth/Decay Percentage Problems

Описание: In this Math 1 lesson, we explore how to model exponential growth and decay using the function
👉 f(x) = a(1 + r)ˣ

You’ll learn how to:

Identify whether a situation represents growth or decay

Write exponential models using initial value (a) and rate of change (r)

Interpret percent increase or decrease in real-world contexts (population, depreciation, interest, etc.)

Evaluate and compare exponential functions over time

Perfect for high school students following California/Common Core Math 1 standards.

🧮 Example problems include:

Population growth at a fixed percent rate

Value of a car decreasing annually


🎯 Standards Addressed:

CCSS.MATH.CONTENT.HSF.LE.A.1: Distinguish between situations that can be modeled with linear functions and those that can be modeled with exponential functions.

CCSS.MATH.CONTENT.HSF.LE.A.2: Construct exponential functions given a graph, two input–output pairs, or a verbal description.

CCSS.MATH.CONTENT.HSF.LE.A.3: Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly or quadratically.

CCSS.MATH.CONTENT.HSF.LE.B.5: Interpret the parameters in a function in terms of a context.

✨ Keywords: exponential growth, exponential decay, percent increase, percent decrease, Integrated Math 1, Common Core, California standards, high school algebra, exponential functions