Subjects algebra

Pizza Buy 839C9A

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1. **State the problem:** We need to determine which pizza is the better buy by comparing the unit price per square inch for each pizza. 2. **Formula for area of a circle:** $$\text{Area} = \pi r^2$$ where $r$ is the radius of the pizza. 3. **Calculate the area of the 10-inch diameter pizza:** - Radius $r = \frac{10}{2} = 5$ inches. - Area $= \pi \times 5^2 = 25\pi$ square inches. - Numerically, $25\pi \approx 78.54$ square inches. 4. **Calculate the unit price for the 10-inch pizza:** - Price = 8.99 - Unit price $= \frac{8.99}{78.54} \approx 0.1145$ per square inch. 5. **Calculate the area of the 6-inch diameter pizza:** - Radius $r = \frac{6}{2} = 3$ inches. - Area $= \pi \times 3^2 = 9\pi$ square inches. - Numerically, $9\pi \approx 28.27$ square inches. 6. **Calculate the unit price for the 6-inch pizza:** - Price = 5 - Unit price $= \frac{5}{28.27} \approx 0.1768$ per square inch. 7. **Compare unit prices:** - 10-inch pizza unit price $\approx 0.1145$ - 6-inch pizza unit price $\approx 0.1768$ Since $0.1145 < 0.1768$, the 10-inch pizza is the better buy. **Final answers:** - Area of 10-inch pizza: $78.54$ square inches. - Unit price of 10-inch pizza: $0.11$ per square inch (rounded). - Area of 6-inch pizza: $28.27$ square inches. - Unit price of 6-inch pizza: $0.18$ per square inch (rounded). - Better buy: 10-inch pizza.