Download 8.5-8.6 Notes from class - Brandywine School District

Algebra 8.5 and 8.6­Exponential Growth and Decay.notebook
Algebra:
February 28, 2017
How do we identify exponential decay and growth? Warm­up: Write in scientific Notation.
2.
1.
Assignment #46
Part I: p. 523-525 #1-2, 4-7, 9, 13, 22, 28, 38
Part II: p. 535-537 #1-6, 14, 22, 28, 35, 38-40, 47, 49
Sep 11­7:34 AM
Exponential Growth and Decay
Linear Functions
Exponential Functions
Function Form ­ Slope Intercept
Function Form
Mar 16­9:16 AM
1
Algebra 8.5 and 8.6­Exponential Growth and Decay.notebook
February 28, 2017
Ex 1: Graph the function in the table.
Domain:
-2
-1
0
1
2
3
4
Range:
Asymptote
Mar 16­9:30 AM
Linear or Exponential?
x
­2
­1
0
1
2
3
4
y
4
7
10
13
16
19
22
Sketch of Graph:
Constant Rate of Change? Y N How changing?
Y - Intercept:
Equation: Type of Equation:
x
­2
­1
0
1
2
3
4
y
10/9
10/3
10
30
90
270
810
Constant Rate of Change? Y N How changing?
Y - Intercept:
Equation: Type of Equation:
Mar 8­10:52 AM
2
Algebra 8.5 and 8.6­Exponential Growth and Decay.notebook
x
­2
­1
0
1
2
3
4
y
28
24
20
16
12
8
4
February 28, 2017
Sketch of Graph:
Constant Rate of Change? Y N How changing?
Y - Intercept:
Equation: Type of Equation:
x
­2
­1
0
1
2
3
4
y
320
80
20
5
5/4
5/16
5/64
Constant Rate of Change? Y N How changing?
Y - Intercept:
Equation: Type of Equation:
Mar 8­10:55 AM
Use the table to write a function.
X
Y X
Y ­2
3 ­2
200 ­1 9 ­1 100 0 27 0 50 1 81 1 25 2 243 2 12.5 3 729 3 6.25 Mar 16­9:40 AM
3
Algebra 8.5 and 8.6­Exponential Growth and Decay.notebook
February 28, 2017
Exponential Growth or Decay involves a PERCENT OF CHANGE!
y is the total amount after x years
C = starting amount
r = rate of increase (positive)
or
rate of decrease (negative)
Mar 17­9:01 AM
Ex 1: Mr. Fitzhugh was hired in 1997 for an annual salary
of $31,500. If he was given a 3.5% raise every year,
estimate his current salary.
Mar 17­9:05 AM
4
Algebra 8.5 and 8.6­Exponential Growth and Decay.notebook
February 28, 2017
Ex 2: A swim club had 500 members in 2000.
It has lost 2% of its members every year.
Estimate the membership in 2015.
Mar 17­9:11 AM
Ex 3:
The same swim club charged $100 per member to cover
the expenses of running the club in 2000. If the
expenses have
increased by 3% each year, estimate the
dues to members in 2015 if the expenses are divided equally
among the members.
Mar 17­9:14 AM
5
Algebra 8.5 and 8.6­Exponential Growth and Decay.notebook
February 28, 2017
Assignment #46
Part I: p. 523-525 #1-2, 4-7, 9, 13, 22, 28, 38
Part II: p. 535-537 #1-6, 14, 22, 28, 35, 38-40, 47, 49
Mar 2­12:11 PM
Feb 27­7:34 PM
6