**Text from Educational Content:**Lauriann and Kinsey are in charge of the annual pizza party. In the past, they’ve always ordered 12-inch-diameter round pizzas, and each 12-inch pizza has always served 6 people. This year, the jumbo 16-inch-diameter round pizzas are on special, so Lauriann and Kinsey decide to get 16-inch pizzas instead. They think that since a 12-inch pizza serves 6 (which is half of 12), a 16-inch pizza should serve 8 (which is half of 16). But when Lauriann and Kinsey see a 16-inch pizza, they think it ought to serve even more than 8 people. Suddenly, Kinsey realizes the flaw in their reasoning that a 16-inch pizza should serve 8. Kinsey has an idea for determining how many people a 16-inch pizza will serve. What mathematical reasoning might Kinsey be thinking of, and how many people should a 16-inch-diameter pizza serve if a 12-inch-diameter pizza serves 6? (See Figure 12.84.) Explain your answers.**Diagram Explanation:**Figure 12.84 shows two round pizzas. The first pizza has a diameter of 12 inches, and the second pizza has a diameter of 16 inches. Both pizzas are depicted with equal slices, illustrating the difference in size based on their diameters.

Given that, a 12 inch diameter pizza is divided among 6 people. Obtain the radius of the pizza as…

their reasoning that a 16-inch pizza should serve 8. Kinsey has an idea for determining how people a 16-inch pizza will serve. What math- ematical reasoning might Kinsey be thinking of, many bin and how many people should a 16-inch-diameter pizza serve if a 12-inch-diameter pizza serves 6? (See Figure 12.84 ) Exnlain your answers.

their reasoning that a 16-inch pizza should serve 8. Kinsey has an idea for determining how people a 16-inch pizza will serve. What math- ematical reasoning might Kinsey be thinking of, many bin and how many people should a 16-inch-diameter pizza serve if a 12-inch-diameter pizza serves 6? (See Figure 12.84 ) Exnlain your answers.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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**Text from Educational Content:**

Lauriann and Kinsey are in charge of the annual pizza party. In the past, they’ve always ordered 12-inch-diameter round pizzas, and each 12-inch pizza has always served 6 people. This year, the jumbo 16-inch-diameter round pizzas are on special, so Lauriann and Kinsey decide to get 16-inch pizzas instead. They think that since a 12-inch pizza serves 6 (which is half of 12), a 16-inch pizza should serve 8 (which is half of 16). But when Lauriann and Kinsey see a 16-inch pizza, they think it ought to serve even more than 8 people. Suddenly, Kinsey realizes the flaw in their reasoning that a 16-inch pizza should serve 8. Kinsey has an idea for determining how many people a 16-inch pizza will serve. What mathematical reasoning might Kinsey be thinking of, and how many people should a 16-inch-diameter pizza serve if a 12-inch-diameter pizza serves 6? (See Figure 12.84.) Explain your answers.

**Diagram Explanation:**

Figure 12.84 shows two round pizzas. The first pizza has a diameter of 12 inches, and the second pizza has a diameter of 16 inches. Both pizzas are depicted with equal slices, illustrating the difference in size based on their diameters.

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