To solve this problem, we need to establish the relationship between the number of omelettes made and the number of eggs left.
James starts with 12 eggs and each omelette requires 2 eggs. Therefore, the number of eggs left after making "x" omelettes can be described by the equation:
\[ \text{Eggs left} = 12 - 2x \]
From this equation, we can derive two key points:
- When no omelettes are made (x = 0): 12 eggs left.
- When 6 omelettes are made (x = 6): 0 eggs left.
Now, let's determine which graph correctly represents this relationship:
- The x-axis will represent the number of omelettes made.
- The y-axis will represent the number of eggs left.
Now let's analyze the options:
A. Graph shows Number of omelettes on y-axis and number of eggs on x-axis. A line touching the points (0, 0) and (12, 6).
- Incorrect: This does not match our equation.
B. Graph shows Number of eggs on y-axis and number of omelettes on x-axis. A line touching the points (0, 12) and (6, 0).
- Correct: This correctly shows the number of eggs based on the number of omelettes.
C. Graph shows Number of eggs on y-axis and number of omelettes on x-axis. A line touching the points (0, 0) and (6, 12).
- Incorrect: This does not correspond to the trend of decreasing eggs.
D. Graph shows Number of omelettes on y-axis and number of eggs on x-axis. A line touching the points (0, 6) and (12, 0).
- Incorrect: This also does not match our equation.
Therefore, the correct answer is B: The graph shows the number of eggs left on the y-axis and the number of omelettes made on the x-axis, touching the points (0, 12) and (6, 0).
1 answer