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?

Since each omelette takes 2 eggs, the number of eggs left can be calculated by subtracting 2 times the number of omelettes made from the initial number of eggs (12).

Therefore, the equation for the number of eggs left is: Eggs left = 12 - 2*x, where x is the number of omelettes made.

Based on this equation, the graph that shows the number of eggs left based on the number of omelettes made would be a decreasing linear graph starting at 12 eggs and decreasing by 2 for each omelette made.

The correct graph would show a line starting at the point (0, 12) and decreasing by 2 units for each unit increase in the number of omelettes made.