Which pizzeria makes more money per pizza?

Understand the Problem

The question is asking to compare the earnings per pizza for two pizzerias, Paul’s and Leo’s, based on the given equation and graph. To solve it, we will analyze the equation and the graph to determine the respective amounts they earn per pizza.

Answer

Paul's Pizzeria takes in $15$ per pizza. Leo's Pizzeria takes in $18$ per pizza. Leo's Pizzeria takes in more money per pizza.

Steps to Solve

Calculate Paul's Earnings per Pizza

For Paul’s Pizzeria, the equation is given as $y = 15x$.

This means that for every pizza sold (where $x$ is the number of pizzas), Paul makes $15 per pizza.

So, Paul's earnings per pizza is:

$$ \text{Earnings per pizza} = 15 $$

Determine Leo's Earnings per Pizza from the Graph

To find Leo’s earnings per pizza, we can analyze the graph.

Let's check the coordinates on the graph:

For example, if Leo sold 4 pizzas, the graph shows that he makes $72.
Therefore, Leo’s earnings per pizza can be calculated as:

$$ \text{Earnings per pizza} = \frac{\text{Total Earnings (y)}}{\text{Pizzas Sold (x)}} $$

Using the example where $y = 72$ and $x = 4$:

$$ \text{Earnings per pizza} = \frac{72}{4} = 18 $$

Compare Earnings per Pizza

Now, we can compare the earnings per pizza for both pizzerias:

Paul's earnings per pizza: $15
Leo's earnings per pizza: $18

This shows that Leo's Pizzeria makes more money per pizza.

Paul’s Pizzeria takes in $15$ per pizza.

Leo's Pizzeria takes in $18$ per pizza.

Leo's Pizzeria takes in more money per pizza.

More Information

Paul’s Pizzeria earns a fixed amount of $15 for each pizza sold. Conversely, Leo's Pizzeria earns $18 for each pizza sold, suggesting a higher pricing strategy or different cost structure.

Tips

Confusing total earnings with earnings per pizza. Make sure to divide total money made by the number of pizzas sold to get earnings per pizza.
Misreading the graph values, which may lead to incorrect calculations for Leo’s earnings.

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