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In this section, we are going to see how to solve word problems on exponential growth and decay. Before look at the problems, if you like to learn about exponential growth and decay, please click here. Problem 1 : David owns a chain of fast food restaurants that operated 200 stores in 1999.
Exponential growth is continuously compounded, modelled by A=Pe^(rt). Let's use bacterial growth as our model for solving exponential word problems.
How do you solve word problems involving exponential growth and decay? In this video, you will learn how to use a table and a formula to find the percentage of a radioactive substance that remains after a certain time.
Summary. Exponential word problems involve situations where a quantity grows or decays at a constant rate over time. To solve these problems, it's important to understand exponential functions, exponential growth and decay formulas, and the step-by-step process for solving such problems.
Exponential Growth and Decay Word Problems. Growth = Decay =. Write and exponential statement for Example 1 and 2. Ex 1) A population of 422, 000 increases by 12% each year. What is the population after 5 years. Ex2) A car bought for $13,000 depreciates at 12% per year. What is the value of the car after 7 years?
This algebra and precalculus video tutorial explains how to solve exponential growth and decay word problems.
We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections ...
WORD PROBLEMS ON EXPONENTIAL FUNCTIONS. Every exponential function will be in the form of y = ab x. Here a = initial value and b = base. Based on the value of b, we can see two types of exponential function. Exponential growth, if b > 1. Exponential decay, if 0 < b < 1.
y = 17250e0.24t y = 17250 e 0.24 t. y = 4700e−0.07t y = 4700 e − 0.07 t. Identify if the function represents exponential growth, exponential decay, linear growth, or linear decay. In each case write the function and find the value at the indicated time. A house was purchased for $350,000 in the year 2010.
I have hand picked a good mix of exponential growth and exponential decay problems across a wide variety of applications. For example, you will see exponential growth function examples such as compound interest and population growth. You will also see exponential decay examples such as depreciation of an asset and radioactive decay of a substance.