1. The problem asks whether the cost of purchasing cookies from Tasty Sweets, which is $3.00 per cookie plus $5.50 for the box, represents a proportional or non-proportional relationship. 2. A proportional relationship means the ratio between the two quantities is constant and can be expressed as $y = kx$ where $k$ is the constant of proportionality. 3. Here, the cost $y$ depends on the number of cookies $x$ as: $$y = 3x + 5.5$$ This is a linear equation with a fixed cost $5.5$ plus $3$ times the number of cookies. 4. Since there is a fixed cost added, the ratio $\frac{y}{x}$ is not constant. For example: - For $x=1$, $y=3(1)+5.5=8.5$, ratio $= \frac{8.5}{1} = 8.5$ - For $x=2$, $y=3(2)+5.5=11.5$, ratio $= \frac{11.5}{2} = 5.75$ 5. Because the ratio changes, the relationship is non-proportional. 6. The table given: \begin{tabular}{c|c} x & y \\\hline 1 & 0 \\ 2 & 2.5 \end{tabular} shows $y$ does not increase proportionally with $x$ either, confirming non-proportionality. **Final answer:** The situation represents a non-proportional relationship because the cost includes a fixed amount plus a variable amount per cookie, so the ratio of cost to number of cookies is not constant.