Question

1. a large pizza has a diameter of 45 cm. a medium pizza has a diameter of 35 cm. 2 large pizzas costs $24. 3 medium pizzas cost $27.

a) what is the cost of one large pizza?
b) find the cost per $\text{cm}^2$ for a large pizza.
c) what is the cost of one medium pizza?
d) find the cost per $\text{cm}^2$ for a medium pizza.

Explanation:

Step1: Calculate 1 large pizza cost

$\frac{\$24}{2} = \$12$

Step2: Find large pizza area

Radius $r = \frac{45}{2} = 22.5$ cm
Area $A = \pi r^2 = \pi (22.5)^2 = 506.25\pi \approx 1590.43$ cm²

Step3: Cost per cm² for large pizza

$\frac{\$12}{1590.43} \approx \$0.00754$

Step4: Calculate 1 medium pizza cost

$\frac{\$27}{3} = \$9$

Step5: Find medium pizza area

Radius $r = \frac{35}{2} = 17.5$ cm
Area $A = \pi r^2 = \pi (17.5)^2 = 306.25\pi \approx 962.11$ cm²

Step6: Cost per cm² for medium pizza

$\frac{\$9}{962.11} \approx \$0.00935$

Answer:

a) $\$12$
b) Approximately $\$0.0075$ per cm²
c) $\$9$
d) Approximately $\$0.0094$ per cm²