Discrete Mathmatics IP 2

Steven Knox
Ip 2 –Discrete Math
Part 1

f Ordered Pairs

D=Domain Q=Range

Is this relationship a Fuction?
This is a function because is mainly a one to one relationship between football team and Quarter Back. However it wouldn’t be a function if the Quarter Backs were the Domain. It exist as a function because of the simple relationship 1 to 1 (x, y) or ( 1 , a ).

Reversing the fuction

Is this Relationship a Function
This diagram does not qualify as a function because Arrow’s coming from Joe Namath are more than one pick out of the range. Givin that a function from F (x) X to Y has to be a 1 to 1 relationship this function simply doesn’t not Qualify.

Part 2 Sequences
Mathematical sequences can be used to model real life applications. Suppose you want to construct a movie theater in your town. The number of seats in each row can be modeled by the formula C_n = 16 + 4n, when n refers to the nth row, and you need 50 rows of seats.
Write the sequence for the number of seats for the first 5 rows
C_n= 16+4n Formulia 16+4(1)=N 16+4=20

16+4(2)=N 16+8=24

16+4(3)=N 16+12=28

16+4(4)=N 16+16=32

16+4(5)=N 16+20=36

1st row = 20
2nd row =24
3rd row=28
4th row=32
5th row=36
Number of Seats for the first 5 rows 140
(b) How many seats will be in the last row? C_n= 16+4n
N=16+4(n)
N=16+4(50)
N=16+200
N=216

Last Row has 216 seats

(c) What will be the total number of seats in the theater?
N=16+4(6)=40
N=16+4(8)=48
N=16+4(9)=52
N=16+4(10)=56
N=16+4(11)=60
N=16+4(12)=64
N=16+4(13)=68
N=16+4(14)=72

N=16+4(15)=76

N=16+4(20)=96
N=16+4(25) =116
N=16+4(30)=136

N=16+4(40)=176
N=16+4(45)=196
N=16+4(47)=204