Final answer:
To determine the better deal based on cost per square inch, we calculate the cost per square inch for each option. Option b) One 14-inch pizza for $7.99 is the better deal as it has a lower cost per square inch compared to option a) Two 12-inch pizzas for $12.98.
Step-by-step explanation:
To determine which option is the better deal based on cost per square inch, we need to calculate the cost per square inch for each option. Let's calculate:
a) Two 12-inch pizzas for $12.98: Each pizza has a diameter of 12 inches, so the radius is 6 inches. The area of each pizza is π × radius2 = 3.14 × 62 = 113.04 square inches. The cost per square inch is $12.98 / (2 × 113.04) = $0.057 per square inch.
b) One 14-inch pizza for $7.99: The radius of the pizza is 7 inches. The area of the pizza is π × radius2 = 3.14 × 72 = 153.86 square inches. The cost per square inch is $7.99 / 153.86 = $0.052 per square inch.
Therefore, option b) One 14-inch pizza for $7.99 is the better deal based on cost per square inch as it has a lower cost per square inch compared to option a).