A roast chicken recipe calls for pre-roasting the chicken for a certain amount of time at a high temperature first, then reducing the temperature and roasting for an additional 18 minutes per pound. Hector's 4.3 pound chicken took 91.4 minutes to roast. How many minutes would it take to cook a chicken that was double in weight as Hector's chicken?

To determine how long it would take to roast a chicken that is double the weight of Hector's 4.3-pound chicken, we first need to calculate the total roasting time for Hector's chicken and then apply the same cooking time per pound to the larger chicken. 1. **Calculate the weight of the larger chicken:** \[ \text{Weight of larger chicken} = 2 \times 4.3 \text{ pounds} = 8.6 \text{ pounds} \] 2. **Determine the cooking time per pound for Hector's chicken:** Hector's chicken took 91.4 minutes to roast, and it weighs 4.3 pounds. We can find the cooking time per pound by dividing the total time by the weight: \[ \text{Cooking time per pound} = \frac{91.4 \text{ minutes}}{4.3 \text{ pounds}} \approx 21.3 \text{ minutes per pound} \] 3. **Calculate the total cooking time for the larger chicken:** Now, we can multiply the cooking time per pound by the weight of the larger chicken: \[ \text{Total cooking time for larger chicken} = 21.3 \text{ minutes per pound} \times 8.6 \text{ pounds} \approx 183.18 \text{ minutes} \] Thus, it would take approximately **183.2 minutes** to cook a chicken that is double the weight of Hector's chicken.