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Math The equation y = 15x can be used to determine

the amount of money, y, Pauli's Pizzeria makes by selling x pizzas.
The graph shows the money Leo's Pizzeria takes in for different numbers of pizzas sold. Which pizzeria makes more money per pizza?
Pauli's Pizzeria takes in
per pizza.
Leo's Pizzeria takes in
per pizza.
is Pizzeria takes in more money per pizza.

1 Answer

3 votes

Final answer:

To determine which pizzeria makes more money per pizza, we need the rate for each; Pauli's is $15 per pizza. Without Leo's rate, we can't compare. Supply and demand models can be solved algebraically or graphically to find equilibrium price and quantity.

Step-by-step explanation:

To determine which pizzeria makes more money per pizza, we must compare the rate provided by Pauli's Pizzeria with the one reflected in the graph for Leo's Pizzeria. For Pauli's Pizzeria, the linear equation given is y = 15x, which indicates that Pauli's Pizzeria makes $15 for each pizza sold.

In Leo's Pizzeria's case, the information isn't directly given, but if we have the graph or additional math detailing Leo's rates, we could compare. Without this, we can't definitively say which pizzeria makes more per pizza.

Considering a different problem that involves supply and demand, the typical process is to equalize the quantity supplied (Qs) and the quantity demanded (Qd). With Qs = 2 + 5P and Qd = 16 - 2P, and when supply equals demand (Qd = Qs), we can solve for the price (P). For the example provided where the price is $2, using Qd = 16 - 2P, we substitute P to find Qd = 12, matching Qs as predicted by the algebra.

Graphing methods offer a visual representation of these economic concepts, showing the intersections of the supply and demand curves.

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