Questions: How many games are scheduled for Atlanta during the week? The number of games scheduled for Atlanta is 6. (Type a whole number.) List the teams that Atlanta is playing. Select all that apply. A. Denver B. Pittsburgh C. St. Louis D. Boston E. Miami F. No teams

How many games are scheduled for Atlanta during the week?
The number of games scheduled for Atlanta is 6.
(Type a whole number.)
List the teams that Atlanta is playing. Select all that apply.
A. Denver B. Pittsburgh C. St. Louis
D. Boston E. Miami F. No teams

Transcript text: How many games are scheduled for Atlanta during the week? The number of games scheduled for Atlanta is 6. (Type a whole number.) List the teams that Atlanta is playing. Select all that apply. A. Denver B. Pittsburgh C. St. Louis D. Boston E. Miami F. No teams

Solution

Solution Steps

Step 1: Count the edges connected to Atlanta

We are asked to find the number of games scheduled for Atlanta. Each edge represents a game. We count the number of edges connected to the vertex representing Atlanta. There are 5 other teams connected to Atlanta, and 1 of the teams (Miami) has 2 edges connecting it to Atlanta. 5 teams + 1 additional game = 6 games total.

Step 2: List the teams Atlanta is playing

Atlanta is playing the following teams: Pittsburgh, St. Louis, Miami, Boston, Denver.

Step 3: Determine the number of times Atlanta plays each team

Atlanta plays Pittsburgh once. Atlanta plays St. Louis once. Atlanta plays Miami twice (there are two edges connecting Atlanta and Miami). Atlanta plays Boston once. Atlanta plays Denver once.

Final Answer

The number of games scheduled for Atlanta is \( \boxed{6} \). Atlanta is playing: Pittsburgh, St. Louis, Miami, Boston, Denver (Options B, C, D, E, A). Atlanta plays Pittsburgh, St. Louis, Boston, and Denver once each, and Miami twice.

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