1. The problem asks which real-world situation can be represented by the linear equation $$y=12x-4$$. 2. The general form of a linear equation is $$y=mx+b$$, where $$m$$ is the slope and $$b$$ is the y-intercept. 3. Here, the slope $$m=12$$ means for every increase of 1 in $$x$$, $$y$$ increases by 12. 4. The y-intercept $$b=-4$$ means when $$x=0$$, $$y=-4$$. 5. Let's analyze each option: - Option 1: Cost of buying $$x$$ movie tickets at 8 each would be $$y=8x$$, no negative intercept. - Option 2: Number of eggs in $$x$$ dozen after 4 dozen sold would be $$y=12x-48$$ (since 4 dozen = 48 eggs), not $$-4$$. - Option 3: Cost after a 4 discount of buying $$x$$ T-shirts at 12 each is $$y=12x-4$$, matching the equation. - Option 4: Number of inches in an $$x$$-foot tree after cutting 4 feet would be $$y=12x-48$$ (since 4 feet = 48 inches), not $$-4$$. 6. Therefore, the correct situation is: The cost, $$y$$, after a 4 discount, of buying $$x$$ T-shirts that sell for 12 each. Final answer: The equation $$y=12x-4$$ represents the cost after a 4 discount of buying $$x$$ T-shirts at 12 each.