Final Answer:
The ratio of Dominique's goals to Lucas's goals is 3:1.
Step-by-step explanation:
Step 1: Identify the proportional relationship:
We are told Dominique made "three times as many goals" as Lucas. This indicates a proportional relationship between their goals.
Step 2: Define the ratio units:
We need to choose units for the ratio. Since we're dealing with goals, the simplest unit is "goals per player."
Step 3: Represent the proportion as a ratio:
Since Dominique made 3 times the goals of Lucas, we can write their goal count as:
Dominique: 3 goals per player
Lucas: 1 goal per player
Step 4: Combine the units and simplify:
Combining the units for Dominique and Lucas, we get the ratio:
Dominique's goals to Lucas's goals = 3 goals/player : 1 goal/player
Step 5: Express the ratio in its simplest form:
The ratio can be further simplified by dividing both sides by 1 goal/player:
Dominique's goals to Lucas's goals = 3 : 1
Therefore, the line-by-line approach essentially breaks down the proportional reasoning into smaller, more manageable steps, ultimately leading to the same result: Dominique's goals to Lucas's goals = 3:1.