Question

Melissa will choose between two West wants to purchase pizzas for a party. The first restaurant charges a delivery fee of $6 for the entire and $12 per Pizza. II restaurant has no delivery fee and charges $14 for pizza. Let x be the number of pizzas purchased.

Answer 1

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.