Calc Prep Part 10: Exponential Growth Models

Exponential growth is the name of the game in this one. In order to see how word problems involving exponential functions work, look no further; we apply the concept of growth to real-life scenarios like an investment and population growth. We keep track of the general form of the exponential growth equation, and I'll remind you of the significance of some variables like 'n' and 't', as well as how to interpret growth rates. I guide you through periodically compounded growth, and repeat the use of logarithms to solve exponential equations. By the end, we explore a practical problem involving population growth in Knoxville, demonstrating how to calculate future values using exponential models.

Stuff to Keep in Mind with This One:

- Some terms/formulas/equations you should know include: EXPONENTIAL FUNCTION; EXPONENTIAL GROWTH; GROWTH RATE; INTEREST RATE; PRINCIPAL VALUE; ANNUAL GROWTH; PERIODICALLY COMPOUNDED GROWTH; CONTINUOUSLY COMPOUNDED GROWTH; POPULATION GROWTH; EXPONENTIAL DECAY; LOGARITHM

- These types of problems are pretty much always word problems; solving them requires the ability to accurately interpret the question and identify what it is that is given compared to what it is that you are looking for.

Chapters
0:00 Introduction to Exponential Growth
0:45 General Form of a Periodically Compounded Growth Equation
3:00 Question One: An Investment Triples
5:30 Convert an Exponential Equation to solve
7:40 Continuously Compounded Growth: Population
10:00 Good Ol' Pert
12:00 Modeling the Population to solve
15:00 Exponential DECAY: Half-Life
17:50 Can't Hurt to use PERT
24:20 Also Doesn't Hurt to Reality-Check Your Answer!

Видео Calc Prep Part 10: Exponential Growth Models канала MathfromtheVoid