Descrete Math Assignment 2

math.doc

Home >Mathematics homework help >Descrete Math Assignment 2

Phase 2 Task 2 Project TEMPLATE

Name_______________________

Task Type: Individual Project Deliverable Length: See Assignment Details Points Possible: 100

Task Background: Suppose you are developing a statistical database in which information about professional football teams and records are stored.

Consider the following 2 sets of data that list football teams and quarterbacks:

D = {Jets, Giants, Cowboys, 49’ers, Patriots, Rams, Chiefs} Q = {Tom Brady, Joe Namath, Troy Aikman, Joe Montana, Eli Manning}

NOTE: (You can also use http://www.pro-football-reference.com to find this information, but here it is as well :)

The following list gives you the relationships (mapping) between team and QB.

· Jets – Joe Namath

· Giants – Eli Manning

· Cowboys – Troy Aikman

· 49’ers – Joe Montana

· Patriots – Tom Brady

· Rams – Joe Namath

· Chiefs – Joe Montana

1. Using D as the domain and Q as the range, show the relation between the 2 sets, with the correspondences based on which players are on which team. Show the relation in the following forms:

· Set of ordered pairs (20 points)

· Directional graph (like the pictures draw in class in our live chats – see HINT below). (20 points)

2. Is the relation a function? Explain. (10 points)

3. Now, use set Q as the domain, and set D as the range (reverse). Show the relation in the following forms:

· Set of ordered pairs (20 points)

· Directional graph (20 points)

4. Is the relation a function? Explain. (10 points)

Part 2: 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.

(a) Write the sequence for the number of seats for the first 5 rows

(b) How many seats will be in the last row?