Question

James is making omelettes for his family. He begins with a dozen eggs and each omelette takes 2 eggs. Which graph shows the number of eggs left based on the number of omelettes made?

instead answer it like this, what would the graph look like?

Answer 1

To visualize the relationship between the number of omelettes made and the number of eggs left, we can start with the initial condition: James has 12 eggs.

Given that each omelette uses 2 eggs, the number of eggs consumed can be expressed as:
- Eggs used = 2 * (number of omelettes)

Therefore, the number of eggs left can be represented by the equation:
- Eggs left = 12 - (2 * number of omelettes)

This can be simplified to:
- Eggs left = 12 - 2x, where x is the number of omelettes made.

### Graph Characteristics:
- **Y-axis**: Represents the number of eggs left.
- **X-axis**: Represents the number of omelettes made.
- The graph will start at the point (0, 12) since when no omelettes are made, all 12 eggs are left.
- As the number of omelettes increases, the number of eggs left decreases.
- The slope of the graph will be -2, indicating that for every omelette made, 2 eggs are used.
- The graph will be a straight line that slopes downward, intersecting the x-axis at 6 (since making 6 omelettes uses up all 12 eggs).

### Key Points on the Graph:
- (0, 12): No omelettes made, 12 eggs left.
- (1, 10): 1 omelette made, 10 eggs left.
- (2, 8): 2 omelettes made, 8 eggs left.
- (3, 6): 3 omelettes made, 6 eggs left.
- (4, 4): 4 omelettes made, 4 eggs left.
- (5, 2): 5 omelettes made, 2 eggs left.
- (6, 0): 6 omelettes made, 0 eggs left.

The line will not go below the x-axis, as James cannot make more than 6 omelettes with 12 eggs. After reaching (6, 0), the graph would remain at that level since he cannot make any more omelettes with zero eggs left.