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Weekly revenue, in dollars, at Pizza Garden can be modeled by the equation y = 1000 + 18x, whe

sold. The pizzeria's weekly expenses, in dollars, can be modeled by the equation y = 1700 + 13x.
How many pizzas must be sold at Pizza Garden in a week for the pizzeria to break even?
Note: The phrase break even refers to the value where the two functions are equivalent. When x is less than the break-even value, the pizzeria has
revenue below expenses, and so it loses money. When x is above the break-even value, the pizzeria has revenue above expenses, and so it makes a
profit.

O 140
O 540
O 3500
O 3520

1 Answer

2 votes

Answer:

To find the break-even point, we need to set the revenue equal to the expenses and solve for x:

1000 + 18x = 1700 + 13x

5x = 700

x = 140

Therefore, Pizza Garden needs to sell 140 pizzas in a week to break even. So the answer is 140.

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