1. **State the problem:** Malik wants to bake pumpkin and banana bread using at most 14 eggs and 16 cups of flour. 2. **Given:** - Pumpkin bread needs 4 eggs and 3.5 cups flour per loaf. - Banana bread needs 1 egg and 1.5 cups flour per loaf. - Malik has 14 eggs and 16 cups flour. 3. **Formulate inequalities:** Let $x$ = number of pumpkin bread loaves, $y$ = number of banana bread loaves. Eggs constraint: $$4x + 1y \leq 14$$ Flour constraint: $$3.5x + 1.5y \leq 16$$ 4. **Check each option:** **A.** $x=3$, $y=3$ Eggs: $4(3) + 3 = 12 + 3 = 15 > 14$ (exceeds eggs) **B.** $x=1$, $y=9$ Eggs: $4(1) + 9 = 4 + 9 = 13 \leq 14$ (ok) Flour: $3.5(1) + 1.5(9) = 3.5 + 13.5 = 17 > 16$ (exceeds flour) **C.** $x=2$, $y=6$ Eggs: $4(2) + 6 = 8 + 6 = 14 \leq 14$ (ok) Flour: $3.5(2) + 1.5(6) = 7 + 9 = 16 \leq 16$ (ok) **D.** $x=5$, $y=1$ Eggs: $4(5) + 1 = 20 + 1 = 21 > 14$ (exceeds eggs) 5. **Conclusion:** Only option C satisfies both constraints. **Final answer:** Option C: 2 loaves of pumpkin bread and 6 loaves of banana bread.