Question

1. model with math the equation ( y = 15x ) can be used to determine the amount of money, y, paulis pizzeria makes by selling x pizzas. the graph shows the money leos pizzeria takes in for different numbers of pizzas sold. which pizzeria makes more money per pizza? paulis pizzeria takes in per pizza. leos pizzeria takes in per pizza. s pizzeria takes in more money per pizza. 8. the graph shows the amount of savings over time in elianas account. lana, meanwhile, puts $50 each week into her savings account. if they both begin with $0, who is saving at the greater rate?

Explanation:

Step1: Find Pauli's Pizzeria's money per pizza

The equation for Pauli's Pizzeria is \(y = 15x\). In a proportional relationship \(y=kx\), \(k\) is the constant of proportionality. Here, \(k = 15\), so Pauli's Pizzeria takes in \(15\) dollars per pizza.

Step2: Find Leo's Pizzeria's money per pizza

From the graph of Leo's Pizzeria, when \(x = 2\), \(y=24\). Using the formula \(k=\frac{y}{x}\), we have \(k=\frac{24}{2}=12\) dollars per pizza.

Step3: Compare the two values

Since \(15>12\), Pauli's Pizzeria makes more money per pizza.

Answer:

Pauli's Pizzeria takes in \(15\) per pizza.
Leo's Pizzeria takes in \(12\) per pizza.
Pauli's Pizzeria takes in more money per pizza.