1. **Problem 4:** Given the table showing time in minutes and pool water in gallons, the relationship is proportional. We need to confirm and fill in missing values if any. 2. The table is: | Time (minutes) | 1 | 5 | 10 | 15 | 20 | | Pool water (gallons) | 4 | 20 | 40 | 60 | 80 | 3. Since the relationship is proportional, the ratio of pool water to time is constant: $$\frac{\text{Pool water}}{\text{Time}} = k$$ 4. Calculate $k$ using the first pair: $$k = \frac{4}{1} = 4$$ 5. Check other values: $$\frac{20}{5} = 4, \quad \frac{40}{10} = 4, \quad \frac{60}{15} = 4, \quad \frac{80}{20} = 4$$ All ratios equal 4, confirming proportionality. 6. Therefore, the missing boxes are already filled correctly. --- 7. **Problem 5a:** Is the cost proportional to the amount of candy? Check ratios: $$\frac{5}{2} = 2.5, \quad \frac{7.5}{3} = 2.5, \quad \frac{12.5}{5} = 2.5$$ Since all ratios are equal, yes, cost is proportional to amount. 8. **Problem 5b:** Write the equation. Let $x$ be amount of candy (lbs), $y$ be cost. $$y = kx$$ Calculate $k$: $$k = \frac{5}{2} = 2.5$$ Equation: $$y = 2.5x$$ 9. **Problem 5c:** Calculate cost for 12 lbs. $$y = 2.5 \times 12 = 30$$ Cost is 30. 10. **Problem 5d:** Graph description. - X-axis: Amount of candy (lbs) - Y-axis: Cost (dollars) - Scale: 1 unit on x-axis = 1 lb, 1 unit on y-axis = 2.5 dollars - Plot points: (2,5), (3,7.5), (5,12.5), (12,30) This completes the solution.