6500 principle earning 28 compounding monthly after 2 years 2000 principle earning 54 compounding semiannually after 4 years Exponential Growth amp Decay Standard Form y ab x However depending on the question we have to change the growth factor ID: 646693
Download Presentation The PPT/PDF document "Do Now: If you did not yesterday, put yo..." is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Slide1
Do Now:
If you did not yesterday, put your worksheet in the basket
$6500 principle earning 2.8% compounding monthly after 2 years
$2000 principle earning 5.4% compounding semiannually after 4 yearsSlide2
Exponential Growth & Decay Slide3
Standard Form:
y = a•b
x
However, depending on the question, we have to change the growth factor. Slide4
The number of students enrolled at a college is 15,000 and grows 4% each year. After 25 years, what can we predict the number of students enrolled in college will be?
Usually we would write it like this:
y = 15,000(.04)
25
y = 1.689 x 10
-31
(that’s a really small number)
However, the number of students enrolled is suppose to grow…dose this answer make sense?Slide5
Exponential Growth:
A = the balance
P = principle (initial/starting amount)
r = the annual interest rate (decimal)
t = the time Slide6
The number of students enrolled at a college is 15,000 and grows 4% each year. After 25 years, what can we predict the number of students enrolled in college will be?
Now with the new formula we write it like this:
A = 15,000(1+.04)
25
A = 15,000(1.04)
25
A= 39,987 students enrolled
Does this answer make sense?
YES!Slide7
With Exponential
Growth
, we also have
Exponential
DecaySlide8
Exponential Decay:
A = the balance
P = principle (initial/starting amount)
r = the annual interest rate (decimal)
t = the time
What is the difference between growth and decay??Slide9
Exponential Decay
You buy a new computer for college costing $2100. The computer decreases by 30% annually. What will the price of the computer be after four years of college?Slide10
How to know when to use which formula…
Exponential Growth
Exponential Decay
Growing
Increasing
Appreciates
Decreases
Depreciates
Goes down
What are some key words we can look for within word problems to decide?Slide11
By looking at an equation, how can we tell if the function is exponential growth and exponential decay?
A = P( )
t
We look here
rate > 1…..growth
rate < 1…..decaySlide12
Growth or Decay?
A = 16(1.025)
5
A = 45(.45)
15
A = 2500(.005)
x
A = 180(.04)
20
A = 10(1.84)
7x
A = 50(2.055)
16Slide13
Growth & Decay Worksheet
Complete the worksheet. You will find the answers around the room. Find the answer and write the letter in the spaces to spell something.