Question 7 options:
Use the five-step thinking plan to help you solve this problem.
If Team A wins three games by the scores of 10 to 5, 8 to 7, and 4 to 1, what was its average margin of victory?
1. Identify the problem: The problem is to find the average margin of victory for Team A in three games.
2. Gather information: The scores of the three games are 10-5, 8-7, and 4-1. We need to calculate the margin of victory for each game.
3. Formulate a plan: To find the margin of victory, subtract the opponent's score from Team A's score in each game. Then, add up the margin of victories for all three games.
4. Execute the plan:
- Game 1: 10 - 5 = 5
- Game 2: 8 - 7 = 1
- Game 3: 4 - 1 = 3
The margin of victories for all three games are 5, 1, and 3 respectively. To find the average margin of victory, add up all the margins and divide by the number of games.
5. Evaluate the solution: The average margin of victory for Team A is (5 + 1 + 3) / 3 = 9/3 = 3.
Therefore, the average margin of victory for Team A is 3.
To find the average margin of victory for Team A, you can follow the five-step thinking plan:
Step 1: Understand the problem
The problem asks for the average margin of victory for Team A. The margin of victory is calculated by subtracting the opponent's score from Team A's score in each game.
Step 2: Devise a plan
To solve this problem, we need to calculate the margin of victory for each game and then find the average of these margins.
Step 3: Carry out the plan
We have three games with the following scores:
Game 1: Team A 10 - Opponent 5
Margin of victory for Game 1: 10 - 5 = 5
Game 2: Team A 8 - Opponent 7
Margin of victory for Game 2: 8 - 7 = 1
Game 3: Team A 4 - Opponent 1
Margin of victory for Game 3: 4 - 1 = 3
Step 4: Look back
To find the average margin of victory, we need to sum up the margins and divide by the number of games.
Average margin of victory = (5 + 1 + 3) / 3 = 9 / 3 = 3.
Step 5: Answer the question
The average margin of victory for Team A is 3.
To solve this problem and find the average margin of victory for Team A, you can use the five-step thinking plan as follows:
Step 1: Understand the problem:
The problem asks for the average margin of victory for Team A based on the scores of three games they won.
Step 2: Devise a plan:
To find the average margin of victory, we need to calculate the difference between the winning scores and the losing scores for each game. Then, we will sum up these differences and divide by the number of games played.
Step 3: Execute the plan:
Calculate the margin of victory for each game:
- Game 1: Team A's score - Opponent's score = 10 - 5 = 5
- Game 2: Team A's score - Opponent's score = 8 - 7 = 1
- Game 3: Team A's score - Opponent's score = 4 - 1 = 3
Sum up the margin of victory for all three games: 5 + 1 + 3 = 9
Step 4: Look back:
We calculated the sum of the margin of victories in the previous step, and now we need to divide this sum by the number of games played to find the average margin of victory.
Step 5: Answer the question:
Since Team A won three games, we divide the sum (9) by the number of games (3): 9 รท 3 = 3.
Therefore, the average margin of victory for Team A is 3.