To determine the value of each soccer ball and each half-soccer ball, we can analyze the tally marks given for each player and the corresponding picture graph.
Tally Marks:
- Len: 9 tally marks
- Dana: 8 tally marks
- Pam: 6 tally marks
- Tom: 8 tally marks
Picture Graph:
- Len: 4 whole soccer balls and 1 half-soccer ball
- Dana: 4 whole soccer balls
- Pam: 3 whole soccer balls
- Tom: 4 whole soccer balls
Analyzing the Data:
-
Total Goals from Tally Marks:
- Len: 9 goals
- Dana: 8 goals
- Pam: 6 goals
- Tom: 8 goals
- Total: 9 + 8 + 6 + 8 = 31 goals
-
Total Goals from Picture Graph:
- Len: 4 whole soccer balls + 0.5 (half-soccer ball) = 4.5
- Dana: 4 whole soccer balls = 4
- Pam: 3 whole soccer balls = 3
- Tom: 4 whole soccer balls = 4
- Total: 4.5 + 4 + 3 + 4 = 15.5 goals
Establishing Relations:
Since the total goals from the tally marks (31 goals) and the picture graph (15.5 goals) must represent each goal equivalently, we can set up equations based on these totals.
Let:
- Each whole soccer ball = \( x \) goals
- Each half-soccer ball = \( y \) goals
From the picture graph:
- \( 4x + 0.5y + 4x + 3x + 4x = 15.5 \)
However, we can first notice that his graph is not consistent with the tallies. As a more straightforward method, we see the whole contributions:
If each whole soccer ball represents 2 goals:
- Len: \( 4 \times 2 + 1 \times 1 = 8 + 1 = 9 \) (Fits tally)
- Dana: \( 4 \times 2 + 0 = 8 \) (Fits tally)
- Pam: \( 3 \times 2 + 0 = 6 \) (Fits tally)
- Tom: \( 4 \times 2 + 0 = 8 \) (Fits tally)
Thus:
- Each whole soccer ball = 2 goals,
- Each half-soccer ball = 1 goal.
Final Answer:
Each soccer ball = 2 goal(s).
Each half-soccer ball = 1 goal(s).