Algebra II Day 29

1
Algebra IIDay 29
2
Average life Expectancy
Life Exp Years
130 120 110 100 90 80
70 60 50 40 30 20 10
0
E .326 t 48.58 r .983
0 10 20 30 40
50 60 70 80 90 100
110
Year of birth - Years after 1900
3
TVs Sold in USA
30,000 20,000 10,000
Number of sets in 1000s
55 60 65 70 75 80 85 90
95 Year in 1900s
4
Graphically based upon the theoretical regression
lines, when did the number of BW TVs match the
number of color TVs sold? How many sets?
N - 167 B 17423 r
- .83
Based upon the theoretical regression equations,
what were the growth rates for each?
N 658 C - 39488
r 97
TVs Sold in USA
30,000 20,000 10,000
Number of sets in 1000s
How would you find the answer algebraically to
the last questions?
55 60 65 70 75 80 85 90
95 Year in 1900s
5
Piecewise Functions The Adams Family
Vacation and Blizzard graph illustrated that many
real life applications are made up of many pieces
of functions. Write an Algebraic description for
the Blizzard graph. The depth of the snow (D)
is a function of the time of day (t).
Piecewise function
( 24 , 20 )
20 15 10 5
Snow dep t h
( 17 , 20 )
in.
Zulu Time 400 800
1200 1600 2000
2400
6
20 15 10 5
Snow dep t h
in.
( 3 , 5 )
Zulu Time 400 800
1200 1600 2000
2400
7
20 15 10 5
Snow dep t h
( 9 , 9 )
in.
( 3 , 5 )
Zulu Time 400 800
1200 1600 2000
2400
8
(No Transcript)
9
20 15 10 5
Snow dep t h
( 11 , 16 )
( 9 , 9 )
in.
Zulu Time 400 800
1200 1600 2000
2400
10
(No Transcript)
11
20 15 10 5
Snow dep t h
( 17 , 20 )
( 11 , 16 )
in.
Zulu Time 400 800
1200 1600 2000
2400
12
(No Transcript)
13
The Blizzard
( 24 , 20 )
20 15 10 5
Snow dep t h
( 17 , 20 )
in.
Zulu Time 400 800
1200 1600 2000
2400
14
Final Answer
15
What was the depth of the snow when t 15 hours
( 300 PM)?
16
(No Transcript)
17
Find critical points
18
( 9 , 8 ) ( 9, 11)
( - 5 , 7 )
( - 4 , 5 )
( 6 , - 4 )
( - 4 , - 9 )