The table shows the sandwich orders from a deli.

Initially, the orders were as follows:

- Veggie sandwiches: 3
- Chicken sandwiches: 5

After Mr. Swanson's late order, the new counts will be:

- Veggie sandwiches: 3 + 1 = 4
- Chicken sandwiches: 5 + 1 = 6

Now, we can find the new ratio of chicken sandwiches to veggie sandwiches:

Ratio of chicken sandwiches to veggie sandwiches = \( \frac{6}{4} \)

To simplify this:

\( \frac{6}{4} = \frac{3}{2} \)

This does not match any of the options directly. However, we can express this ratio in a way that gives us a numeric relationship:

If we were to write it in terms of whole numbers, we could express it as:

- 6 chicken sandwiches for every 4 veggie sandwiches, or written as: **6 chicken sandwiches to 4 veggie sandwiches**

Therefore, the final answer is **6 chicken sandwiches to 4 veggie sandwiches**.