1. The problem asks for the weight of the container without any cat food. 2. From the graph description, the total weight $y$ is a function of the amount of cat food $x$ in cups. 3. The key point is to find the weight when no cat food is added, i.e., when $x=0$. 4. According to the graph, the line starts at the point $(0,2)$. 5. This means when $x=0$, $y=2$. 6. Therefore, the weight of the container without any cat food is $2$ ounces. Final answer: $2$ ounces.