Use 3.14 as pi. show your work in terms of area of pizza per dollar.
a small pizza costs $3.50 and a large pizza costs $11. The small pizza diameter is 16 and the diameter of the larger pizza is 30.
The area of the small pizza is 200.96 cm2 and the area of the large pizza is 706.5. John wants to buy the pizza with the biggest area per dollar. which pizza should he buy?
To find the area of the small pizza per dollar:
Area per dollar = (area of pizza) / (cost of pizza)
= 200.96 / 3.50
= 57.4 cm2 per dollar
To find the area of the large pizza per dollar:
Area per dollar = (area of pizza) / (cost of pizza)
= 706.5 / 11
= 64.2 cm2 per dollar
Therefore, John should buy the large pizza as it has a higher area per dollar.
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Yes, I wrote the previous answer to your question.
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To find the area of a circle, we use the formula:
Area = π * radius^2
Given that the diameter of the small pizza is 16, we can find the radius by dividing the diameter by 2:
Radius of small pizza = 16 / 2 = 8 cm
Now we can calculate the area of the small pizza using π = 3.14:
Area of small pizza = 3.14 * 8^2 = 3.14 * 64 = 200.96 cm^2
Given that the diameter of the large pizza is 30, we can find the radius by dividing the diameter by 2:
Radius of large pizza = 30 / 2 = 15 cm
Now we can calculate the area of the large pizza using π = 3.14:
Area of large pizza = 3.14 * 15^2 = 3.14 * 225 = 706.5 cm^2
The cost of the small pizza is $3.50, and its area is 200.96 cm^2.
So, the price per unit area for the small pizza is:
Price per unit area for small pizza = $3.50 / 200.96 cm^2 ≈ $0.0174/cm^2
The cost of the large pizza is $11, and its area is 706.5 cm^2.
So, the price per unit area for the large pizza is:
Price per unit area for large pizza = $11 / 706.5 cm^2 ≈ $0.0156/cm^2
Comparing the price per unit area for both pizzas, we can see that the large pizza has the lowest price per unit area. Therefore, John should buy the large pizza as it provides the most area per dollar spent.
To determine which pizza has the biggest area per dollar, we need to compare the area of each pizza divided by its cost.
1. For the small pizza:
- Cost: $3.50
- Area: 200.96 cm^2
- Area per dollar: 200.96 cm^2 / $3.50 = 57.41 cm^2/$
2. For the large pizza:
- Cost: $11
- Area: 706.5 cm^2
- Area per dollar: 706.5 cm^2 / $11 = 64.23 cm^2/$
Comparing the area per dollar for both pizzas, we can see that the large pizza has a higher value of 64.23 cm^2/$, while the small pizza has a value of 57.41 cm^2/$. Therefore, John should buy the large pizza as it offers a larger area per dollar.