Questions: The graph models the baseball schedule for a week. The vertices represent the teams. Each game played is represented as an edge between two teams. How many games are scheduled for Denver during the week? List the teams that they are playing. How many times are they playing each of these teams?
How many games are scheduled for Denver during the week?
The number of games scheduled for Denver is (Type a whole number.)
List the teams that Denver is playing. Select all that apply.
A. Dallas B. Los Angeles C. Minnesota D. Cleveland E. Atlanta F. No teams
How many times is Denver playing each of these teams this week?
Denver is playing Atlanta time(s), Dallas time(s), Minnesota time(s), Los Angeles time(s), Cleveland time(s), and (Type whole numbers.)
Transcript text: The graph models the baseball schedule for a week. The vertices represent the teams. Each game played is represented as an edge between two teams. How many games are scheduled for Denver during the week? List the teams that they are playing. How many times are they playing each of these teams?
How many games are scheduled for Denver during the week?
The number of games scheduled for Denver is (Type a whole number.)
List the teams that Denver is playing. Select all that apply.
A. Dallas B. Los Angeles C. Minnesota D. Cleveland E. Atlanta F. No teams
How many times is Denver playing each of these teams this week?
Denver is playing Atlanta $\square$ time(s), Dallas $\square$ time(s), Minnesota $\square$ time(s), Los Angeles $\square$ time(s), Cleveland $\square$ time(s), and (Type whole numbers.)
Solution
Solution Steps
Step 1: Count the edges connected to Denver
Count the lines connected to the Denver vertex on the graph. There are 5 lines connected to Denver.
Step 2: Determine the number of games scheduled for Denver
Each line represents a game. Therefore, Denver has 5 games scheduled for the week.
Step 3: Identify the teams Denver is playing
List the teams connected to Denver by a line: Atlanta, Dallas, Los Angeles, Cleveland, and Minnesota.
Final Answer:
Denver has 5 games scheduled. Denver is playing Atlanta, Dallas, Los Angeles, Cleveland, and Minnesota. Denver plays each of these teams 1 time.