1. **State the problem:** Determine if the relationships described are proportional. 2. **Recall the definition:** Two quantities are proportional if their ratio is constant. 3. **Analyze each situation:** - Maria deposits $20 each week, starting with $60. The total amount after $w$ weeks is $60 + 20w$. The ratio of total amount to weeks is $\frac{60 + 20w}{w}$, which changes as $w$ changes, so not proportional. - Marvin uses 5 blue beads for every 3 red beads. The ratio $\frac{5}{3}$ is constant, so proportional. - The width of each gift box is 0.5 times the length. The ratio width:length is constant at 0.5, so proportional. - The area of a square is the square of its side length. The ratio area:side length is $\frac{s^2}{s} = s$, which changes with $s$, so not proportional. 4. **Final answers:** - Maria's bank account: No - Marvin's beads: Yes - Gift box dimensions: Yes - Square area and side length: No