Final answer:
To determine the more cost-effective option for purchasing pizzas, we compare the total cost of each option. Option 1 has a delivery fee of $6 and a cost per pizza of $12, while Option 2 has no delivery fee and a cost per pizza of $14. By setting the equations equal to each other, we find that if Melissa wants to purchase 3 or more pizzas, Option 2 is more cost-effective. If she wants to purchase 2 or fewer pizzas, Option 1 is more cost-effective.
Step-by-step explanation:
To determine which option is more cost-effective, we need to compare the total cost of each option. Let's calculate the total cost for each option using the given information:
Option 1: Delivery fee = $6, Cost per pizza = $12
Total cost for option 1 = $6 + $12x
Option 2: No delivery fee, Cost per pizza = $14
Total cost for option 2 = $14x
To find the point at which the total cost for both options is equal, we set the equations equal to each other and solve for x:
$6 + $12x = $14x
$2x = $6
x = 3
Therefore, if Melissa wants to purchase 3 or more pizzas, it is more cost-effective to choose option 2 with no delivery fee. If she wants to purchase 2 or fewer pizzas, it is more cost-effective to choose option 1.