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. 2. **Understand proportional relationships:** If $y$ is proportional to $x$, then $y = kx$ for some constant of proportionality $k$. 3. **Find the constant $k$:** Given that when $x=1$, $y=6$, substitute these values into $y = kx$: $$6 = k \times 1$$ So, $$k = 6$$ 4. **Write the equation:** $$y = 6x$$ This means for every square foot of garden, Tammy can grow 6 carrots. 5. **Summary:** The equation representing the relationship is $y = 6x$ where $x$ is the garden size in square feet and $y$ is the number of carrots.