1. **State the problem:** We are given a proportional relationship between the size of Tammy's garden $x$ (in square feet) and the number of carrots $y$ she can grow, modeled by the equation $$y = 6x$$. 2. **Understand the formula:** This means for every 1 square foot of garden, Tammy can grow 6 carrots. The constant of proportionality is 6. 3. **Find the number of carrots for $x=2$ square feet:** Substitute $x=2$ into the equation: $$y = 6 \times 2$$ 4. **Calculate:** $$y = 12$$ 5. **Interpretation:** Tammy can grow 12 carrots at a time if her garden is 2 square feet. **Final answer:** $$\boxed{12}$$