R-55 Exponents

R-55 Exponents 

Scenario 1-

6000 , 2, 10,000,
6000   2  10, 000

π, a, b^2

π  a  b^2

3

4  

3

4

**All equal 1

Scenario 2-

16, 8, 15, 3*3,  5*3    , 7*2*5

8   16  3   3*4   3*2*5  5*7

**

L-55 Generalizations
 1. Fractions are division problems so if you divide a number by itself it equals 1.

 

R-54 Decay Factor/Rate

Decay Factor- is what is left

Decay Rate-is what is taken away

Decay factor + Decay rate= 1

y= a(df) ^x

a=y-intercept
df= decay factor less than 1

Table- divide lower # by upper #

x  y

1  2
2  1

1 divided by 2= 1/2 or .5
Less than 1
decay factor


HOMEWORK
L-53/L-54
pg. 69 #8, #10-13, 14, 15, 17

What is Growth Factor?

What do we think growth factor is?

*# that tells you how much it goes up by everytime
*Graph-the line, the differences between each point
*Table-Difference between the points
*Equation-y=n^x   (The class is still unsure which is the growth factor. x or n?)

ABC Problems

A

Lake Victoria
S.A.=25,000,000
Initially Covers=1,000 sq.feet
(doubles every month)

B

Mold
M=50 (3^d)
M=area of mold in sq.millimeters
d=days

C

 

Growth Factor: What tells a # how fast it will grow

1. Math stuff you know

2. Question 

-y-intercept

-x-intercept

3. Real Life implications of problems